(p(x)=5x-4 -3x-3 +2x-2 -x+8) और (q(x)=-2x-4 +7x-3 -5x-2 +4x-6) के योग में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in the sum of (p(x)=5x-4 -3x-3 +2x-2 -x+8) and (q(x)=-2x-4 +7x-3 -5x-2 +4x-6)?
#addition
#coefficient
#like terms
A (3)
B (4)
C (5)
D (10)
Explanation opens after your attempt
Step 1
Concept
The coefficients of \(x^3\) are (-3) and (7), so the sum is (4). Add only coefficients of like powers.
Step 2
Why this answer is correct
The correct answer is B. (4). The coefficients of \(x^3\) are (-3) and (7), so the sum is (4). Add only coefficients of like powers.
Step 3
Exam Tip
\(x^3\) के गुणांक (-3) और (7) हैं, इसलिए योग (4) है। समान घात के गुणांक ही जोड़ें।
Login to save your score, XP, coins and progress. Login
(p(x)=4x-3 -7x-2 +2x-5) और (q(x)=-x-3 +3x-2 -6x+9) के योग में (x) का गुणांक क्या है?
What is the coefficient of (x) in the sum of (p(x)=4x-3 -7x-2 +2x-5) and (q(x)=-x-3 +3x-2 -6x+9)?
#addition
#coefficient
#like terms
A (-8)
B (-4)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
The coefficients of (x) are (2) and (-6), so the sum is (-4). Add coefficients of like powers only.
Step 2
Why this answer is correct
The correct answer is B. (-4). The coefficients of (x) are (2) and (-6), so the sum is (-4). Add coefficients of like powers only.
Step 3
Exam Tip
(x) के गुणांक (2) और (-6) हैं, इसलिए योग (-4) है। समान घात के गुणांक ही जोड़ें।
Login to save your score, XP, coins and progress. Login
(p(x)=3x-3 -2x-2 +5x-1) और (q(x)=-x-3 +7x-2 -4x+6) के योग में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in the sum of (p(x)=3x-3 -2x-2 +5x-1) and (q(x)=-x-3 +7x-2 -4x+6)?
#addition
#coefficient
#like terms
A (3)
B (5)
C (7)
D (9)
Explanation opens after your attempt
Step 1
Concept
The coefficients of \(x^2\) are (-2) and (7), whose sum is (5). Add only coefficients of like powers.
Step 2
Why this answer is correct
The correct answer is B. (5). The coefficients of \(x^2\) are (-2) and (7), whose sum is (5). Add only coefficients of like powers.
Step 3
Exam Tip
\(x^2\) के गुणांक (-2) और (7) हैं, जिनका योग (5) है। समान घात के गुणांक ही जोड़ें।
Login to save your score, XP, coins and progress. Login
\(5x^2-6x+2\) और \(2x^2+9x-1\) में (x) के गुणांकों का योग क्या है?
What is the sum of the coefficients of (x) in \(5x^2-6x+2\) and \(2x^2+9x-1\)?
#coefficients
#like terms
#polynomials
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The coefficient of (x) is (-6) in the first polynomial and (9) in the second, so the sum is (3). Add coefficients of like powers only.
Step 2
Why this answer is correct
The correct answer is C. (3). The coefficient of (x) is (-6) in the first polynomial and (9) in the second, so the sum is (3). Add coefficients of like powers only.
Step 3
Exam Tip
पहले बहुपद में (x) का गुणांक (-6) और दूसरे में (9) है, योग (3) है। समान घात के गुणांक ही जोड़ें।
Login to save your score, XP, coins and progress. Login
(p(x)=6x-2 -x+3) से (r(x)=2x-2 +5x-8) घटाने पर क्या मिलेगा?
What is obtained when (r(x)=2x-2 +5x-8) is subtracted from (p(x)=6x-2 -x+3)?
#subtraction
#like terms
#polynomials
A \(4x^2-6x+11\)
B \(8x^2+4x-5\)
C \(4x^2+6x+11\)
D \(8x^2-6x-11\)
Explanation opens after your attempt
Correct Answer
A. \(4x^2-6x+11\)
Step 1
Concept
(p(x)-r(x)=6x-2 -x+3-\(2x^2+5x-8\)=4x-2 -6x+11). Change all signs inside the bracket while subtracting.
Step 2
Why this answer is correct
The correct answer is A. \(4x^2-6x+11\). (p(x)-r(x)=6x-2 -x+3-\(2x^2+5x-8\)=4x-2 -6x+11). Change all signs inside the bracket while subtracting.
Step 3
Exam Tip
(p(x)-r(x)=6x-2 -x+3-\(2x^2+5x-8\)=4x-2 -6x+11)। घटाते समय कोष्ठक के सभी संकेत बदलें।
Login to save your score, XP, coins and progress. Login
(p(x)=4x-2 -9x+2) और (q(x)=3x-2 +x-7) का योग क्या है?
What is the sum of (p(x)=4x-2 -9x+2) and (q(x)=3x-2 +x-7)?
#addition
#like terms
#polynomials
A \(7x^2-8x-5\)
B \(x^2-10x+9\)
C \(7x^2+8x-5\)
D \(12x^4-9x-14\)
Explanation opens after your attempt
Correct Answer
A. \(7x^2-8x-5\)
Step 1
Concept
Adding like terms gives \(7x^2-8x-5\). Add only like terms.
Step 2
Why this answer is correct
The correct answer is A. \(7x^2-8x-5\). Adding like terms gives \(7x^2-8x-5\). Add only like terms.
Step 3
Exam Tip
समान घात वाले पद जोड़ने पर \(7x^2-8x-5\) मिलता है। केवल समान पदों को ही जोड़ें।
Login to save your score, XP, coins and progress. Login
\(3x^2-2x+1\) और \(x^2+4x+7\) में (x) के गुणांकों का योग क्या है?
What is the sum of the coefficients of (x) in \(3x^2-2x+1\) and \(x^2+4x+7\)?
#coefficients
#like terms
#polynomials
A (2)
B (4)
C (6)
D (8)
Explanation opens after your attempt
Step 1
Concept
The coefficient of (x) is (-2) in the first polynomial and (4) in the second, so the sum is (2). Add coefficients of like powers only.
Step 2
Why this answer is correct
The correct answer is A. (2). The coefficient of (x) is (-2) in the first polynomial and (4) in the second, so the sum is (2). Add coefficients of like powers only.
Step 3
Exam Tip
पहले बहुपद में (x) का गुणांक (-2) और दूसरे में (4) है, योग (2) है। समान घात के गुणांक ही जोड़ें।
Login to save your score, XP, coins and progress. Login
(p(x)=5x-2 +3x-2) से (r(x)=2x-2 -x+4) घटाने पर क्या मिलेगा?
What is obtained when (r(x)=2x-2 -x+4) is subtracted from (p(x)=5x-2 +3x-2)?
#subtraction
#polynomials
#like terms
A \(3x^2+4x-6\)
B \(7x^2+2x+2\)
C \(3x^2+2x+2\)
D \(7x^2+4x-6\)
Explanation opens after your attempt
Correct Answer
A. \(3x^2+4x-6\)
Step 1
Concept
(p(x)-r(x)=5x-2 +3x-2-\(2x^2-x+4\)=3x-2 +4x-6). Change all signs while subtracting.
Step 2
Why this answer is correct
The correct answer is A. \(3x^2+4x-6\). (p(x)-r(x)=5x-2 +3x-2-\(2x^2-x+4\)=3x-2 +4x-6). Change all signs while subtracting.
Step 3
Exam Tip
(p(x)-r(x)=5x-2 +3x-2-\(2x^2-x+4\)=3x-2 +4x-6)। घटाते समय सभी संकेत बदलें।
Login to save your score, XP, coins and progress. Login
(p(x)=3x-2 -4x+1) और (q(x)=x-2 +2x-5) का योग क्या है?
What is the sum of (p(x)=3x-2 -4x+1) and (q(x)=x-2 +2x-5)?
#addition
#like terms
#polynomials
A \(4x^2-2x-4\)
B \(2x^2-6x+6\)
C \(4x^2+6x-4\)
D \(3x^4-8x^2-5\)
Explanation opens after your attempt
Correct Answer
A. \(4x^2-2x-4\)
Step 1
Concept
Adding like terms gives \(4x^2-2x-4\). Combine only like terms.
Step 2
Why this answer is correct
The correct answer is A. \(4x^2-2x-4\). Adding like terms gives \(4x^2-2x-4\). Combine only like terms.
Step 3
Exam Tip
समान घात वाले पद जोड़ने पर \(4x^2-2x-4\) मिलता है। केवल समान पदों को मिलाएं।
Login to save your score, XP, coins and progress. Login
बहुपद \(4x^3-2x^3+x+5\) को सरल करने पर घात क्या होगी?
After simplifying \(4x^3-2x^3+x+5\), what is its degree?
#like_terms
#degree
#simplification
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
Combining like terms gives \(2x^3+x+5\). The highest power is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). Combining like terms gives \(2x^3+x+5\). The highest power is (3).
Step 3
Exam Tip
समान पद मिलाकर \(2x^3+x+5\) मिलता है। सबसे बड़ी घात (3) है।
Login to save your score, XP, coins and progress. Login
\(\frac{6b^{-3}+9b^{-3}}{3b^{-5}}\) का सरल रूप क्या है, जहाँ \(b\neq0\)?
What is the simplified form of \(\frac{6b^{-3}+9b^{-3}}{3b^{-5}}\), where \(b\neq0\)?
#negative_exponents
#like_terms
#polynomials
A \(5b^{2}\)
B \(5b^{-2}\)
C \(3b^{2}\)
D \(15b^{2}\)
Explanation opens after your attempt
Correct Answer
A. \(5b^{2}\)
Step 1
Concept
The numerator is \(6b^{-3}+9b^{-3}=15b^{-3}\). Thus \(\frac{15b^{-3}}{3b^{-5}}=5b^{2}\).
Step 2
Why this answer is correct
The correct answer is A. \(5b^{2}\). The numerator is \(6b^{-3}+9b^{-3}=15b^{-3}\). Thus \(\frac{15b^{-3}}{3b^{-5}}=5b^{2}\).
Step 3
Exam Tip
ऊपर \(6b^{-3}+9b^{-3}=15b^{-3}\) है। \(\frac{15b^{-3}}{3b^{-5}}=5b^{2}\) मिलता है।
Login to save your score, XP, coins and progress. Login
\(\frac{4b^{-2}+6b^{-2}}{5b^{-3}}\) का सरल रूप क्या है, जहाँ \(b\neq0\)?
What is the simplified form of \(\frac{4b^{-2}+6b^{-2}}{5b^{-3}}\), where \(b\neq0\)?
#negative_exponents
#like_terms
#polynomials
A (2b)
B \(2b^{-1}\)
C (b)
D \(2b^{2}\)
Explanation opens after your attempt
Step 1
Concept
The numerator is \(4b^{-2}+6b^{-2}=10b^{-2}\). Thus \(\frac{10b^{-2}}{5b^{-3}}=2b\).
Step 2
Why this answer is correct
The correct answer is A. (2b). The numerator is \(4b^{-2}+6b^{-2}=10b^{-2}\). Thus \(\frac{10b^{-2}}{5b^{-3}}=2b\).
Step 3
Exam Tip
ऊपर \(4b^{-2}+6b^{-2}=10b^{-2}\) है। \(\frac{10b^{-2}}{5b^{-3}}=2b\) मिलता है।
Login to save your score, XP, coins and progress. Login
(\frac{\(2a^{-1}+3a^{-1}\)}{5a^{-2}}) का सरल रूप क्या है, जहाँ \(a\neq0\)?
What is the simplified form of (\frac{\(2a^{-1}+3a^{-1}\)}{5a^{-2}}), where \(a\neq0\)?
#negative_exponents
#like_terms
#polynomials
A (a)
B \(a^{-1}\)
C \(a^{2}\)
D (1)
Explanation opens after your attempt
Step 1
Concept
The numerator is \(2a^{-1}+3a^{-1}=5a^{-1}\). Hence \(\frac{5a^{-1}}{5a^{-2}}=a^{1}=a\).
Step 2
Why this answer is correct
The correct answer is A. (a). The numerator is \(2a^{-1}+3a^{-1}=5a^{-1}\). Hence \(\frac{5a^{-1}}{5a^{-2}}=a^{1}=a\).
Step 3
Exam Tip
ऊपर \(2a^{-1}+3a^{-1}=5a^{-1}\) है। इसलिए \(\frac{5a^{-1}}{5a^{-2}}=a^{1}=a\)।
Login to save your score, XP, coins and progress. Login
(\(2y^3-y+5\)-\(5y^3+4y-8\)) का सरल रूप क्या है?
What is the simplified form of (\(2y^3-y+5\)-\(5y^3+4y-8\))?
#polynomials
#subtraction
#like-terms
#operations
A \(,-3y^3-5y+13,\)
B \(,-3y^3+3y-3,\)
C \(,7y^3+3y-3,\)
D \(,-3y^3-5y-13,\)
Explanation opens after your attempt
Correct Answer
A. \(,-3y^3-5y+13,\)
Step 1
Concept
Changing all signs in the second bracket gives \(2y^3-y+5-5y^3-4y+8\). In exams, change the sign of every term during subtraction.
Step 2
Why this answer is correct
The correct answer is A. \(,-3y^3-5y+13,\). Changing all signs in the second bracket gives \(2y^3-y+5-5y^3-4y+8\). In exams, change the sign of every term during subtraction.
Step 3
Exam Tip
दूसरे bracket के सभी signs बदलने पर \(2y^3-y+5-5y^3-4y+8\) मिलता है। परीक्षा में subtraction में हर पद का sign बदलें।
Login to save your score, XP, coins and progress. Login
(\(4x^2-3x+6\)+\(-x^2+7x-9\)) का योग क्या है?
What is the sum of (\(4x^2-3x+6\)+\(-x^2+7x-9\))?
#polynomials
#addition
#like-terms
#operations
A \(,3x^2+4x-3,\)
B \(,5x^2+4x-3,\)
C \(,3x^2-10x+15,\)
D \(,3x^2+10x-3,\)
Explanation opens after your attempt
Correct Answer
A. \(,3x^2+4x-3,\)
Step 1
Concept
Adding like terms gives \(4x^2-x^2=3x^2\), (-3x+7x=4x), and (6-9=-3). In exams, add like terms separately.
Step 2
Why this answer is correct
The correct answer is A. \(,3x^2+4x-3,\). Adding like terms gives \(4x^2-x^2=3x^2\), (-3x+7x=4x), and (6-9=-3). In exams, add like terms separately.
Step 3
Exam Tip
समान पद जोड़ने पर \(4x^2-x^2=3x^2\), (-3x+7x=4x) और (6-9=-3) मिलता है। परीक्षा में like terms को अलग-अलग जोड़ें।
Login to save your score, XP, coins and progress. Login
(\(5x^3-2x+7\)-\(2x^3+3x-5\)) का सरल रूप क्या है?
What is the simplified form of (\(5x^3-2x+7\)-\(2x^3+3x-5\))?
#polynomials
#subtraction
#like-terms
#operations
A \(,3x^3-5x+12,\)
B \(,3x^3+x+2,\)
C \(,7x^3+x+2,\)
D \(,3x^3-5x-2,\)
Explanation opens after your attempt
Correct Answer
A. \(,3x^3-5x+12,\)
Step 1
Concept
Changing the signs of the second bracket gives \(5x^3-2x+7-2x^3-3x+5\), so the answer is \(3x^3-5x+12\). In exams, change the sign of every term in the bracket during subtraction.
Step 2
Why this answer is correct
The correct answer is A. \(,3x^3-5x+12,\). Changing the signs of the second bracket gives \(5x^3-2x+7-2x^3-3x+5\), so the answer is \(3x^3-5x+12\). In exams, change the sign of every term in the bracket during subtraction.
Step 3
Exam Tip
दूसरे bracket के signs बदलकर \(5x^3-2x+7-2x^3-3x+5\) मिलता है, इसलिए उत्तर \(3x^3-5x+12\) है। परीक्षा में subtraction में पूरे bracket का sign बदलें।
Login to save your score, XP, coins and progress. Login
(\(3x^2-2x+1\)+\(x^2+5x-4\)) का योग क्या है?
What is the sum of (\(3x^2-2x+1\)+\(x^2+5x-4\))?
#polynomials
#addition
#like-terms
#operations
A \(,4x^2+3x-3,\)
B \(,4x^2-7x+5,\)
C \(,2x^2+3x-3,\)
D \(,4x^2+7x-5,\)
Explanation opens after your attempt
Correct Answer
A. \(,4x^2+3x-3,\)
Step 1
Concept
Adding like terms gives \(3x^2+x^2=4x^2\), (-2x+5x=3x), and (1-4=-3). In exams, add like terms in columns.
Step 2
Why this answer is correct
The correct answer is A. \(,4x^2+3x-3,\). Adding like terms gives \(3x^2+x^2=4x^2\), (-2x+5x=3x), and (1-4=-3). In exams, add like terms in columns.
Step 3
Exam Tip
समान पद जोड़ने पर \(3x^2+x^2=4x^2\), (-2x+5x=3x) और (1-4=-3) होता है। परीक्षा में like terms को columns में जोड़ें।
Login to save your score, XP, coins and progress. Login
((3x+4)+(5x-9)) का सरल रूप क्या है?
What is the simplified form of ((3x+4)+(5x-9))?
#polynomials
#addition
#like terms
A (8x-5)
B (8x+13)
C (2x-5)
D (15x-5)
Explanation opens after your attempt
Step 1
Concept
Combining like terms gives (3x+5x=8x) and (4-9=-5). So the answer is (8x-5).
Step 2
Why this answer is correct
The correct answer is A. (8x-5). Combining like terms gives (3x+5x=8x) and (4-9=-5). So the answer is (8x-5).
Step 3
Exam Tip
समान पद जोड़ने पर (3x+5x=8x) और (4-9=-5) है। इसलिए उत्तर (8x-5) है।
Login to save your score, XP, coins and progress. Login
\(5x^2-3x^2+7x^2\) का सरल रूप क्या है?
What is the simplified form of \(5x^2-3x^2+7x^2\)?
#polynomials
#like terms
#simplification
A \(9x^2\)
B \(9x^6\)
C \(15x^2\)
D (9x)
Explanation opens after your attempt
Correct Answer
A. \(9x^2\)
Step 1
Concept
The coefficients of like terms are (5-3+7=9). Thus the simplified form is \(9x^2\).
Step 2
Why this answer is correct
The correct answer is A. \(9x^2\). The coefficients of like terms are (5-3+7=9). Thus the simplified form is \(9x^2\).
Step 3
Exam Tip
समान पदों के गुणांक (5-3+7=9) हैं। इसलिए सरल रूप \(9x^2\) है।
Login to save your score, XP, coins and progress. Login
((2x+3)+(4x-7)) का सरल रूप क्या है?
What is the simplified form of ((2x+3)+(4x-7))?
#polynomials
#addition
#like terms
A (6x-4)
B (6x+10)
C (2x-4)
D (8x-4)
Explanation opens after your attempt
Step 1
Concept
Combining like terms gives (2x+4x=6x) and (3-7=-4). So the answer is (6x-4).
Step 2
Why this answer is correct
The correct answer is A. (6x-4). Combining like terms gives (2x+4x=6x) and (3-7=-4). So the answer is (6x-4).
Step 3
Exam Tip
समान पद जोड़ने पर (2x+4x=6x) और (3-7=-4) है। इसलिए उत्तर (6x-4) है।
Login to save your score, XP, coins and progress. Login
\(4x^3+7x^3-5x^3\) का सरल रूप क्या है?
What is the simplified form of \(4x^3+7x^3-5x^3\)?
#polynomials
#like terms
#addition subtraction
A \(6x^3\)
B \(6x^9\)
C \(16x^3\)
D (6x)
Explanation opens after your attempt
Correct Answer
A. \(6x^3\)
Step 1
Concept
The coefficients of like terms are (4+7-5=6). Thus the simplified form is \(6x^3\).
Step 2
Why this answer is correct
The correct answer is A. \(6x^3\). The coefficients of like terms are (4+7-5=6). Thus the simplified form is \(6x^3\).
Step 3
Exam Tip
समान पदों के गुणांक (4+7-5=6) हैं। इसलिए सरल रूप \(6x^3\) है।
Login to save your score, XP, coins and progress. Login
((x+2)+(3x-5)) का सरल रूप क्या है?
What is the simplified form of ((x+2)+(3x-5))?
#polynomials
#addition
#like terms
A (4x-3)
B (4x+7)
C (2x-3)
D (3x+3)
Explanation opens after your attempt
Step 1
Concept
Combining like terms gives (x+3x=4x) and (2-5=-3). So the answer is (4x-3).
Step 2
Why this answer is correct
The correct answer is A. (4x-3). Combining like terms gives (x+3x=4x) and (2-5=-3). So the answer is (4x-3).
Step 3
Exam Tip
समान पद जोड़ने पर (x+3x=4x) और (2-5=-3) है। इसलिए उत्तर (4x-3) है।
Login to save your score, XP, coins and progress. Login
\(3x^2+5x^2-2x^2\) का सरल रूप क्या है?
What is the simplified form of \(3x^2+5x^2-2x^2\)?
#polynomials
#like terms
#addition subtraction
A \(6x^2\)
B \(6x^6\)
C \(10x^2\)
D (6x)
Explanation opens after your attempt
Correct Answer
A. \(6x^2\)
Step 1
Concept
The coefficients of like terms are (3+5-2=6). Thus the simplified form is \(6x^2\).
Step 2
Why this answer is correct
The correct answer is A. \(6x^2\). The coefficients of like terms are (3+5-2=6). Thus the simplified form is \(6x^2\).
Step 3
Exam Tip
समान पदों के गुणांक (3+5-2=6) होते हैं। इसलिए सरल रूप \(6x^2\) है।
Login to save your score, XP, coins and progress. Login
निम्न में से कौन \(z^4\) का समान पद है?
Which of the following is a like term of \(z^4\)?
#polynomials
#like terms
#identification
A \(9z^4\)
B \(9z^3\)
C \(z^5\)
D \(9y^4\)
Explanation opens after your attempt
Correct Answer
A. \(9z^4\)
Step 1
Concept
Like terms have the same variable and exponent. In \(9z^4\), \(z^4\) is the same, so it is a like term.
Step 2
Why this answer is correct
The correct answer is A. \(9z^4\). Like terms have the same variable and exponent. In \(9z^4\), \(z^4\) is the same, so it is a like term.
Step 3
Exam Tip
समान पद में चर और घात समान होते हैं। \(9z^4\) में \(z^4\) वही है इसलिए यह समान पद है।
Login to save your score, XP, coins and progress. Login
\(14x^5-9x^5\) का सरल रूप क्या है?
What is the simplified form of \(14x^5-9x^5\)?
#polynomials
#like terms
#subtraction
A \(5x^5\)
B \(23x^5\)
C \(5x^0\)
D \(5x^{10}\)
Explanation opens after your attempt
Correct Answer
A. \(5x^5\)
Step 1
Concept
For like terms, coefficients are subtracted, so \(14x^5-9x^5=5x^5\). The variable and exponent stay the same.
Step 2
Why this answer is correct
The correct answer is A. \(5x^5\). For like terms, coefficients are subtracted, so \(14x^5-9x^5=5x^5\). The variable and exponent stay the same.
Step 3
Exam Tip
समान पदों में गुणांक घटते हैं इसलिए \(14x^5-9x^5=5x^5\)। चर और घात वही रहते हैं।
Login to save your score, XP, coins and progress. Login
\(6x^2+8x^2\) का सरल रूप क्या है?
What is the simplified form of \(6x^2+8x^2\)?
#polynomials
#like terms
#exponents
A \(14x^2\)
B \(14x^4\)
C \(48x^2\)
D \(2x^2\)
Explanation opens after your attempt
Correct Answer
A. \(14x^2\)
Step 1
Concept
These are like terms, so the coefficients (6+8=14) are added. The exponent (2) does not change.
Step 2
Why this answer is correct
The correct answer is A. \(14x^2\). These are like terms, so the coefficients (6+8=14) are added. The exponent (2) does not change.
Step 3
Exam Tip
ये समान पद हैं इसलिए गुणांक (6+8=14) जुड़ते हैं। घात (2) नहीं बदलती।
Login to save your score, XP, coins and progress. Login
(13x-5x) का सरल रूप क्या है?
What is the simplified form of (13x-5x)?
#polynomials
#like terms
#subtraction
A (8x)
B (18x)
C \(8x^2\)
D (65x)
Explanation opens after your attempt
Step 1
Concept
For like terms, coefficients are subtracted, so (13x-5x=8x). The variable remains the same in like terms.
Step 2
Why this answer is correct
The correct answer is A. (8x). For like terms, coefficients are subtracted, so (13x-5x=8x). The variable remains the same in like terms.
Step 3
Exam Tip
समान पदों में गुणांक घटते हैं इसलिए (13x-5x=8x)। समान पदों में चर वही रहता है।
Login to save your score, XP, coins and progress. Login
(12a+9a) का सरल रूप क्या है?
What is the simplified form of (12a+9a)?
#polynomials
#like terms
#addition
A (21a)
B (108a)
C \(21a^2\)
D (3a)
Explanation opens after your attempt
Step 1
Concept
Coefficients of like terms are added, so (12a+9a=21a). The variable (a) does not change.
Step 2
Why this answer is correct
The correct answer is A. (21a). Coefficients of like terms are added, so (12a+9a=21a). The variable (a) does not change.
Step 3
Exam Tip
समान पदों के गुणांक जोड़े जाते हैं इसलिए (12a+9a=21a)। चर (a) नहीं बदलता।
Login to save your score, XP, coins and progress. Login
निम्न में से कौन \(y^3\) का समान पद है?
Which of the following is a like term of \(y^3\)?
#polynomials
#like terms
#identification
A \(7y^3\)
B \(7y^2\)
C \(y^4\)
D \(7x^3\)
Explanation opens after your attempt
Correct Answer
A. \(7y^3\)
Step 1
Concept
Like terms have the same variable and exponent. In \(7y^3\), \(y^3\) is the same, so it is a like term.
Step 2
Why this answer is correct
The correct answer is A. \(7y^3\). Like terms have the same variable and exponent. In \(7y^3\), \(y^3\) is the same, so it is a like term.
Step 3
Exam Tip
समान पद में चर और घात समान होते हैं। \(7y^3\) में \(y^3\) वही है इसलिए यह समान पद है।
Login to save your score, XP, coins and progress. Login
\(11x^4-7x^4\) का सरल रूप क्या है?
What is the simplified form of \(11x^4-7x^4\)?
#polynomials
#like terms
#subtraction
A \(4x^4\)
B \(18x^4\)
C \(4x^0\)
D \(4x^8\)
Explanation opens after your attempt
Correct Answer
A. \(4x^4\)
Step 1
Concept
For like terms, coefficients are subtracted, so \(11x^4-7x^4=4x^4\). The variable and exponent stay the same.
Step 2
Why this answer is correct
The correct answer is A. \(4x^4\). For like terms, coefficients are subtracted, so \(11x^4-7x^4=4x^4\). The variable and exponent stay the same.
Step 3
Exam Tip
समान पदों में गुणांक घटते हैं इसलिए \(11x^4-7x^4=4x^4\)। चर और घात वही रहते हैं।
Login to save your score, XP, coins and progress. Login
