\(9x^2-5xy+4y^2-2x^2+8xy-7y^2\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(9x^2-5xy+4y^2-2x^2+8xy-7y^2\)?
#algebraic-expressions
#simplification
#three-groups
A \(7x^2+3xy-3y^2\)
B \(11x^2+3xy-11y^2\)
C \(7x^2-13xy-3y^2\)
D \(7x^2+3xy+11y^2\)
Explanation opens after your attempt
Correct Answer
A. \(7x^2+3xy-3y^2\)
Step 1
Concept
\(9x^2-2x^2=7x^2\), (-5xy+8xy=3xy), and \(4y^2-7y^2=-3y^2\).
Step 2
Why this answer is correct
The correct answer is A. \(7x^2+3xy-3y^2\). \(9x^2-2x^2=7x^2\), (-5xy+8xy=3xy), and \(4y^2-7y^2=-3y^2\).
Step 3
Exam Tip
\(9x^2-2x^2=7x^2\), (-5xy+8xy=3xy), और \(4y^2-7y^2=-3y^2\)।
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यदि (x=3) और (y=2), तो \(x^2y-xy^2\) और (xy(x-y)) के बारे में सही कथन कौन-सा है?
If (x=3) and (y=2), which statement is correct about \(x^2y-xy^2\) and (xy(x-y))?
#algebraic-expressions
#equivalent-expression
#factor-form
A पहला बड़ा है / The first is greater
B दूसरा बड़ा है / The second is greater
C दोनों बराबर हैं / Both are equal
D दोनों का मान (0) है / Both have value (0)
Explanation opens after your attempt
Correct Answer
C. दोनों बराबर हैं / Both are equal
Step 1
Concept
(x-2 y-xy-2 =xy(x-y)) are equivalent forms. For the given values, both equal (6).
Step 2
Why this answer is correct
The correct answer is C. दोनों बराबर हैं / Both are equal. (x-2 y-xy-2 =xy(x-y)) are equivalent forms. For the given values, both equal (6).
Step 3
Exam Tip
(x-2 y-xy-2 =xy(x-y)) समान रूप हैं। दिए मानों पर दोनों का मान (6) है।
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\(6x^2y-4xy+9x^2y+7xy-12\) को सरल करने पर कौन-सा पद नहीं रहेगा?
After simplifying \(6x^2y-4xy+9x^2y+7xy-12\), which term will not remain?
#algebraic-expressions
#simplification
#term-identification
A \(15x^2y\)
B (3xy)
C (-12)
D (11xy)
Explanation opens after your attempt
Step 1
Concept
The simplified form is \(15x^2y+3xy-12\). It does not contain the term (11xy).
Step 2
Why this answer is correct
The correct answer is D. (11xy). The simplified form is \(15x^2y+3xy-12\). It does not contain the term (11xy).
Step 3
Exam Tip
सरल रूप \(15x^2y+3xy-12\) है। इसमें (11xy) पद नहीं है।
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यदि \(x^2-2x=15\), तो \(2x^2-4x+7\) का मान क्या होगा?
If \(x^2-2x=15\), what is the value of \(2x^2-4x+7\)?
#algebraic-expressions
#expression-value
#factor-common
A (30)
B (35)
C (37)
D (45)
Explanation opens after your attempt
Step 1
Concept
(2x-2 -4x+7=2\(x^2-2x\)+7). Using the given value, (2(15)+7=37).
Step 2
Why this answer is correct
The correct answer is C. (37). (2x-2 -4x+7=2\(x^2-2x\)+7). Using the given value, (2(15)+7=37).
Step 3
Exam Tip
(2x-2 -4x+7=2\(x^2-2x\)+7) है। दिए मान से (2(15)+7=37)।
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\(x^4y^3\) में कुल घात और (x) की घात का अंतर क्या है?
What is the difference between the total degree and the power of (x) in \(x^4y^3\)?
#algebraic-expressions
#total-degree
#powers
A (3)
B (4)
C (7)
D (1)
Explanation opens after your attempt
Step 1
Concept
The total degree is (4+3=7), and the power of (x) is (4). The difference is (7-4=3).
Step 2
Why this answer is correct
The correct answer is A. (3). The total degree is (4+3=7), and the power of (x) is (4). The difference is (7-4=3).
Step 3
Exam Tip
कुल घात (4+3=7) है और (x) की घात (4) है। अंतर (7-4=3) होगा।
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कौन-सा विकल्प (3(2x+y)-5(x-2y)+2x) के बराबर है?
Which option is equal to (3(2x+y)-5(x-2y)+2x)?
#algebraic-expressions
#equivalent-expression
#expansion
A (3x+13y)
B (13x+13y)
C (3x-7y)
D (13x-7y)
Explanation opens after your attempt
Correct Answer
A. (3x+13y)
Step 1
Concept
Expanding gives (6x+3y-5x+10y+2x). Combining like terms gives (3x+13y).
Step 2
Why this answer is correct
The correct answer is A. (3x+13y). Expanding gives (6x+3y-5x+10y+2x). Combining like terms gives (3x+13y).
Step 3
Exam Tip
खोलने पर (6x+3y-5x+10y+2x) मिलता है। समान पद मिलाकर (3x+13y) बनेगा।
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यदि (x=-2), (y=-3), तो \(x^2y^2+3xy\) का मान क्या होगा?
If (x=-2), (y=-3), what is the value of \(x^2y^2+3xy\)?
#algebraic-expressions
#evaluation
#product-powers
A (18)
B (36)
C (54)
D (72)
Explanation opens after your attempt
Step 1
Concept
\(x^2y^2=4\cdot9=36\) and (3xy=3(6)=18). The total value is (54).
Step 2
Why this answer is correct
The correct answer is C. (54). \(x^2y^2=4\cdot9=36\) and (3xy=3(6)=18). The total value is (54).
Step 3
Exam Tip
\(x^2y^2=4\cdot9=36\) और (3xy=3(6)=18) है। कुल मान (54) है।
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\(4x^2+7x-9\) में से कौन-सा पद हटाने पर स्थिर पद नहीं रहेगा और दो पद बचेंगे?
Which term should be removed from \(4x^2+7x-9\) so that no constant term remains and two terms are left?
#algebraic-expressions
#constant-term
#term-count
A \(4x^2\)
B (7x)
C (-9)
D \(4x^2+7x\)
Explanation opens after your attempt
Step 1
Concept
The constant term is (-9). Removing it leaves \(4x^2+7x\), which has two variable terms.
Step 2
Why this answer is correct
The correct answer is C. (-9). The constant term is (-9). Removing it leaves \(4x^2+7x\), which has two variable terms.
Step 3
Exam Tip
स्थिर पद (-9) है। इसे हटाने पर \(4x^2+7x\) में दो चर पद बचते हैं।
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\(7a^2-4ab+6b^2\) में से \(3a^2-9ab+2b^2\) घटाने पर क्या मिलेगा?
What is obtained by subtracting \(3a^2-9ab+2b^2\) from \(7a^2-4ab+6b^2\)?
#algebraic-expressions
#subtraction
#two-variable-polynomial
A \(4a^2+5ab+4b^2\)
B \(10a^2-13ab+8b^2\)
C \(4a^2-13ab+4b^2\)
D \(10a^2+5ab+8b^2\)
Explanation opens after your attempt
Correct Answer
A. \(4a^2+5ab+4b^2\)
Step 1
Concept
Subtraction gives \(7a^2-4ab+6b^2-3a^2+9ab-2b^2\). The simplified form is \(4a^2+5ab+4b^2\).
Step 2
Why this answer is correct
The correct answer is A. \(4a^2+5ab+4b^2\). Subtraction gives \(7a^2-4ab+6b^2-3a^2+9ab-2b^2\). The simplified form is \(4a^2+5ab+4b^2\).
Step 3
Exam Tip
घटाने पर \(7a^2-4ab+6b^2-3a^2+9ab-2b^2\) मिलता है। सरल रूप \(4a^2+5ab+4b^2\) है।
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यदि (p+q=10) और (p-q=4), तो (2p+q) का मान क्या होगा?
If (p+q=10) and (p-q=4), what is the value of (2p+q)?
#algebraic-expressions
#value
#linear-relations
A (13)
B (17)
C (14)
D (11)
Explanation opens after your attempt
Step 1
Concept
The two relations give (p=7) and (q=3). Therefore (2p+q=14+3=17).
Step 2
Why this answer is correct
The correct answer is B. (17). The two relations give (p=7) and (q=3). Therefore (2p+q=14+3=17).
Step 3
Exam Tip
दोनों संबंधों से (p=7) और (q=3) मिलता है। इसलिए (2p+q=14+3=17)।
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किस व्यंजक का सरल रूप \(6x^2-13x\) है?
Which expression has the simplified form \(6x^2-13x\)?
#algebraic-expressions
#equivalent-expression
#factor-form
A (x(6x-13))
B (6\(x^2-13\))
C (13x(6x-1))
D (6x(x-13))
Explanation opens after your attempt
Correct Answer
A. (x(6x-13))
Step 1
Concept
Expanding (x(6x-13)) gives \(6x^2-13x\). Use the distributive rule to check options.
Step 2
Why this answer is correct
The correct answer is A. (x(6x-13)). Expanding (x(6x-13)) gives \(6x^2-13x\). Use the distributive rule to check options.
Step 3
Exam Tip
(x(6x-13)) खोलने पर \(6x^2-13x\) मिलता है। विकल्प जाँचने के लिए वितरण नियम लगाएँ।
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\(4x^2y-6xy^2-7x^2y+2xy^2\) को सरल करने पर \(xy^2\) का गुणांक क्या होगा?
After simplifying \(4x^2y-6xy^2-7x^2y+2xy^2\), what will be the coefficient of \(xy^2\)?
#algebraic-expressions
#coefficient
#multiple-variables
A (-3)
B (-4)
C (4)
D (-8)
Explanation opens after your attempt
Step 1
Concept
The \(xy^2\) terms are \(-6xy^2\) and \(2xy^2\). Their sum is \(-4xy^2\).
Step 2
Why this answer is correct
The correct answer is B. (-4). The \(xy^2\) terms are \(-6xy^2\) and \(2xy^2\). Their sum is \(-4xy^2\).
Step 3
Exam Tip
\(xy^2\) वाले पद \(-6xy^2\) और \(2xy^2\) हैं। इनका योग \(-4xy^2\) है।
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यदि (x=4), तो (3x(x-2)-2x-2 ) का मान क्या होगा?
If (x=4), what is the value of (3x(x-2)-2x-2 )?
#algebraic-expressions
#evaluation
#expansion
A (8)
B (16)
C (24)
D (32)
Explanation opens after your attempt
Step 1
Concept
First simplify (3x(x-2)-2x-2 =x-2 -6x). Substituting (x=4) gives (16-24=-8), so check the options carefully.
Step 2
Why this answer is correct
The correct answer is A. (8). First simplify (3x(x-2)-2x-2 =x-2 -6x). Substituting (x=4) gives (16-24=-8), so check the options carefully.
Step 3
Exam Tip
पहले सरल करें (3x(x-2)-2x-2 =x-2 -6x)। (x=4) रखने पर (16-24=-8), इसलिए सावधानी से विकल्प जाँचें।
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\(6x^2-7xy+3y^2+2xy-5y^2-4x^2\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(6x^2-7xy+3y^2+2xy-5y^2-4x^2\)?
#algebraic-expressions
#combine-like-terms
#three-groups
A \(2x^2-5xy-2y^2\)
B \(10x^2-9xy-2y^2\)
C \(2x^2-9xy+8y^2\)
D \(2x^2-5xy+8y^2\)
Explanation opens after your attempt
Correct Answer
A. \(2x^2-5xy-2y^2\)
Step 1
Concept
\(6x^2-4x^2=2x^2\), (-7xy+2xy=-5xy), and \(3y^2-5y^2=-2y^2\).
Step 2
Why this answer is correct
The correct answer is A. \(2x^2-5xy-2y^2\). \(6x^2-4x^2=2x^2\), (-7xy+2xy=-5xy), and \(3y^2-5y^2=-2y^2\).
Step 3
Exam Tip
\(6x^2-4x^2=2x^2\), (-7xy+2xy=-5xy), और \(3y^2-5y^2=-2y^2\)।
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कौन-सा व्यंजक (y) के वर्ग के (5) गुने और (x) के तीन गुने के अंतर को दर्शाता है?
Which expression represents the difference between five times the square of (y) and three times (x)?
#algebraic-expressions
#word-to-expression
#difference
A \(5y^2-3x\)
B \(5y-3x^2\)
C \(3x-5y^2\)
D (5(y-3x)2 )
Explanation opens after your attempt
Correct Answer
A. \(5y^2-3x\)
Step 1
Concept
Five times the square of (y) is \(5y^2\), and three times (x) is (3x). The difference is \(5y^2-3x\).
Step 2
Why this answer is correct
The correct answer is A. \(5y^2-3x\). Five times the square of (y) is \(5y^2\), and three times (x) is (3x). The difference is \(5y^2-3x\).
Step 3
Exam Tip
(y) के वर्ग का (5) गुना \(5y^2\) है और (x) का तीन गुना (3x) है। अंतर \(5y^2-3x\) होगा।
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\(x^2+kx-20\) में यदि (x) का गुणांक (-11) है, तो (k+4) का मान क्या होगा?
In \(x^2+kx-20\), if the coefficient of (x) is (-11), what is the value of (k+4)?
#algebraic-expressions
#coefficient
#parameter
A (-15)
B (-11)
C (-7)
D (7)
Explanation opens after your attempt
Step 1
Concept
In (kx), the coefficient of (x) is (k), so (k=-11). Hence (k+4=-7).
Step 2
Why this answer is correct
The correct answer is C. (-7). In (kx), the coefficient of (x) is (k), so (k=-11). Hence (k+4=-7).
Step 3
Exam Tip
(kx) में (x) का गुणांक (k) है, इसलिए (k=-11)। अतः (k+4=-7)।
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(3(5x-2y)-4(2x+y)+6y) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (3(5x-2y)-4(2x+y)+6y)?
#algebraic-expressions
#expansion
#combine-like-terms
A (7x-4y)
B (7x-4y)
C (23x-4y)
D (7x+4y)
Explanation opens after your attempt
Correct Answer
B. (7x-4y)
Step 1
Concept
Expanding gives (15x-6y-8x-4y+6y). Combining like terms gives (7x-4y).
Step 2
Why this answer is correct
The correct answer is B. (7x-4y). Expanding gives (15x-6y-8x-4y+6y). Combining like terms gives (7x-4y).
Step 3
Exam Tip
खोलने पर (15x-6y-8x-4y+6y) मिलता है। समान पद मिलाकर (7x-4y) बनेगा।
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यदि (a=-2), (b=3), तो \(a^3b-2ab^2+b^3\) का मान क्या होगा?
If (a=-2), (b=3), what is the value of \(a^3b-2ab^2+b^3\)?
#algebraic-expressions
#evaluation
#cubic-two-variables
A (39)
B (15)
C (-15)
D (-39)
Explanation opens after your attempt
Step 1
Concept
(a-3 b=(-8)(3)=-24), (-2ab-2 =-2(-2)(9)=36), and \(b^3=27\). The total value is (39).
Step 2
Why this answer is correct
The correct answer is A. (39). (a-3 b=(-8)(3)=-24), (-2ab-2 =-2(-2)(9)=36), and \(b^3=27\). The total value is (39).
Step 3
Exam Tip
(a-3 b=(-8)(3)=-24), (-2ab-2 =-2(-2)(9)=36), और \(b^3=27\)। कुल मान (39) है।
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कौन-सा कथन \(r^3s^2\) और \(r^2s^3\) के लिए सही है?
Which statement is correct for \(r^3s^2\) and \(r^2s^3\)?
#algebraic-expressions
#unlike-terms
#error-analysis
A ये समान पद हैं / They are like terms
B ये असमान पद हैं क्योंकि चर-घातें अलग हैं / They are unlike terms because variable powers are different
C ये स्थिर पद हैं / They are constant terms
D इनका चर भाग \(r^5s^5\) है / Their variable part is \(r^5s^5\)
Explanation opens after your attempt
Correct Answer
B. ये असमान पद हैं क्योंकि चर-घातें अलग हैं / They are unlike terms because variable powers are different
Step 1
Concept
Both contain (r) and (s), but the power of each variable is not the same. So they are unlike terms.
Step 2
Why this answer is correct
The correct answer is B. ये असमान पद हैं क्योंकि चर-घातें अलग हैं / They are unlike terms because variable powers are different. Both contain (r) and (s), but the power of each variable is not the same. So they are unlike terms.
Step 3
Exam Tip
दोनों में (r) और (s) हैं पर प्रत्येक चर की घात समान नहीं है। इसलिए ये असमान पद हैं।
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\(12x^2-5x+4\) में से \(7x^2-9x+10\) घटाने पर क्या मिलेगा?
What is obtained by subtracting \(7x^2-9x+10\) from \(12x^2-5x+4\)?
#algebraic-expressions
#subtraction
#polynomials
A \(5x^2+4x-6\)
B \(19x^2-14x+14\)
C \(5x^2-14x-6\)
D \(19x^2+4x-6\)
Explanation opens after your attempt
Correct Answer
A. \(5x^2+4x-6\)
Step 1
Concept
Subtraction gives \(12x^2-5x+4-7x^2+9x-10\). Its simplified form is \(5x^2+4x-6\).
Step 2
Why this answer is correct
The correct answer is A. \(5x^2+4x-6\). Subtraction gives \(12x^2-5x+4-7x^2+9x-10\). Its simplified form is \(5x^2+4x-6\).
Step 3
Exam Tip
घटाने पर \(12x^2-5x+4-7x^2+9x-10\) मिलता है। इसका सरल रूप \(5x^2+4x-6\) है।
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कौन-सा व्यंजक \(3x^2-2x+5\) में \(-x^2+6x-9\) जोड़ने पर मिलता है?
Which expression is obtained by adding \(-x^2+6x-9\) to \(3x^2-2x+5\)?
#algebraic-expressions
#addition
#like-terms
A \(2x^2+4x-4\)
B \(4x^2-8x+14\)
C \(2x^2-8x-4\)
D \(4x^2+4x-4\)
Explanation opens after your attempt
Correct Answer
A. \(2x^2+4x-4\)
Step 1
Concept
Add like terms: \(3x^2-x^2=2x^2\), (-2x+6x=4x), and (5-9=-4).
Step 2
Why this answer is correct
The correct answer is A. \(2x^2+4x-4\). Add like terms: \(3x^2-x^2=2x^2\), (-2x+6x=4x), and (5-9=-4).
Step 3
Exam Tip
समान पद जोड़ें: \(3x^2-x^2=2x^2\), (-2x+6x=4x), और (5-9=-4)।
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यदि (x=-4), तो \(\frac{x^3-2x^2+8}{x}\) का मान क्या होगा?
If (x=-4), what is the value of \(\frac{x^3-2x^2+8}{x}\)?
#algebraic-expressions
#evaluation
#fraction
A (18)
B (22)
C (26)
D (30)
Explanation opens after your attempt
Step 1
Concept
The numerator is ((-64)-2(16)+8=-88). Then \(\frac{-88}{-4}=22\).
Step 2
Why this answer is correct
The correct answer is B. (22). The numerator is ((-64)-2(16)+8=-88). Then \(\frac{-88}{-4}=22\).
Step 3
Exam Tip
अंश ((-64)-2(16)+8=-88) है। \(\frac{-88}{-4}=22\) मिलेगा।
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\(9u^2v-5uv+3u^2v+8uv-10\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(9u^2v-5uv+3u^2v+8uv-10\)?
#algebraic-expressions
#simplification
#multiple-variables
A \(12u^2v-13uv-10\)
B \(6u^2v+3uv-10\)
C \(12u^2v+3uv-10\)
D \(12u^3v^2+3uv-10\)
Explanation opens after your attempt
Correct Answer
C. \(12u^2v+3uv-10\)
Step 1
Concept
\(9u^2v+3u^2v=12u^2v\) and (-5uv+8uv=3uv). The constant term (-10) remains separate.
Step 2
Why this answer is correct
The correct answer is C. \(12u^2v+3uv-10\). \(9u^2v+3u^2v=12u^2v\) and (-5uv+8uv=3uv). The constant term (-10) remains separate.
Step 3
Exam Tip
\(9u^2v+3u^2v=12u^2v\) और (-5uv+8uv=3uv)। स्थिर पद (-10) अलग रहेगा।
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यदि (x+y=9) और (x-y=1), तो \(x^2-y^2\) का मान क्या होगा?
If (x+y=9) and (x-y=1), what is the value of \(x^2-y^2\)?
#algebraic-expressions
#identity
#value
A (8)
B (9)
C (10)
D (18)
Explanation opens after your attempt
Step 1
Concept
(x-2 -y-2 =(x-y)(x+y)). Therefore, the value is \(1\cdot9=9\).
Step 2
Why this answer is correct
The correct answer is B. (9). (x-2 -y-2 =(x-y)(x+y)). Therefore, the value is \(1\cdot9=9\).
Step 3
Exam Tip
(x-2 -y-2 =(x-y)(x+y)) होता है। इसलिए मान \(1\cdot9=9\) है।
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किस व्यंजक में कुल घात (7) है?
Which expression has total degree (7)?
#algebraic-expressions
#total-degree
#variables
A \(x^3y^4\)
B \(x^2y^3\)
C \(x^5y\)
D \(xy^4\)
Explanation opens after your attempt
Correct Answer
A. \(x^3y^4\)
Step 1
Concept
In \(x^3y^4\), the total degree is (3+4=7). Add the powers in a multivariable term.
Step 2
Why this answer is correct
The correct answer is A. \(x^3y^4\). In \(x^3y^4\), the total degree is (3+4=7). Add the powers in a multivariable term.
Step 3
Exam Tip
\(x^3y^4\) में कुल घात (3+4=7) है। बहु-चर पद में घातों को जोड़ें।
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(2(5x+3y)-7(x-y)+4x) को सरल करने पर (x) का गुणांक क्या होगा?
After simplifying (2(5x+3y)-7(x-y)+4x), what will be the coefficient of (x)?
#algebraic-expressions
#coefficient
#expansion
A (3)
B (7)
C (10)
D (11)
Explanation opens after your attempt
Step 1
Concept
The simplified form is (10x+6y-7x+7y+4x=7x+13y). So the coefficient of (x) is (7).
Step 2
Why this answer is correct
The correct answer is B. (7). The simplified form is (10x+6y-7x+7y+4x=7x+13y). So the coefficient of (x) is (7).
Step 3
Exam Tip
सरल रूप (10x+6y-7x+7y+4x=7x+13y) है। इसलिए (x) का गुणांक (7) है।
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\(4x^3-7x^2+2x-11\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(4x^3-7x^2+2x-11\)?
#algebraic-expressions
#coefficient
#powers
A (4)
B (-7)
C (2)
D (-11)
Explanation opens after your attempt
Step 1
Concept
The term containing \(x^2\) is \(-7x^2\). Therefore, the coefficient is (-7).
Step 2
Why this answer is correct
The correct answer is B. (-7). The term containing \(x^2\) is \(-7x^2\). Therefore, the coefficient is (-7).
Step 3
Exam Tip
\(x^2\) वाला पद \(-7x^2\) है। इसलिए गुणांक (-7) है।
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यदि (a-b=7) और (a+b=17), तो (a) का मान क्या होगा?
If (a-b=7) and (a+b=17), what is the value of (a)?
#algebraic-expressions
#expression-value
#linear-relations
A (5)
B (7)
C (10)
D (12)
Explanation opens after your attempt
Step 1
Concept
Adding the two expressions gives (2a=24). Therefore, (a=12).
Step 2
Why this answer is correct
The correct answer is D. (12). Adding the two expressions gives (2a=24). Therefore, (a=12).
Step 3
Exam Tip
दोनों व्यंजकों को जोड़ने पर (2a=24) मिलता है। इसलिए (a=12) है।
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(6x-2 -4xy+y-2 -\(2x^2+5xy-3y^2\)) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (6x-2 -4xy+y-2 -\(2x^2+5xy-3y^2\))?
#algebraic-expressions
#subtraction
#brackets
A \(4x^2-9xy+4y^2\)
B \(8x^2+xy-2y^2\)
C \(4x^2+xy-2y^2\)
D \(4x^2-9xy-2y^2\)
Explanation opens after your attempt
Correct Answer
A. \(4x^2-9xy+4y^2\)
Step 1
Concept
When the bracket is subtracted, all inside signs change. The simplified form is \(4x^2-9xy+4y^2\).
Step 2
Why this answer is correct
The correct answer is A. \(4x^2-9xy+4y^2\). When the bracket is subtracted, all inside signs change. The simplified form is \(4x^2-9xy+4y^2\).
Step 3
Exam Tip
कोष्ठक घटाने पर सभी अंदरूनी चिन्ह बदलेंगे। सरल रूप \(4x^2-9xy+4y^2\) है।
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कौन-सा पद \(8m^2n^4\) का समान पद है?
Which term is a like term of \(8m^2n^4\)?
#algebraic-expressions
#like-terms
#powers
A \(5m^4n^2\)
B \(-3m^2n^4\)
C \(8m^2n\)
D \(m^3n^4\)
Explanation opens after your attempt
Correct Answer
B. \(-3m^2n^4\)
Step 1
Concept
A like term must have the same variable part \(m^2n^4\). \(-3m^2n^4\) has the same variable part.
Step 2
Why this answer is correct
The correct answer is B. \(-3m^2n^4\). A like term must have the same variable part \(m^2n^4\). \(-3m^2n^4\) has the same variable part.
Step 3
Exam Tip
समान पद में चर भाग \(m^2n^4\) ही होना चाहिए। \(-3m^2n^4\) का चर भाग समान है।
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