\(6x^2-7xy+3y^2+2xy-5y^2-4x^2\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(6x^2-7xy+3y^2+2xy-5y^2-4x^2\)?
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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(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)?
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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\(4x^2-3xy+2y^2+5xy-7y^2-x^2\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(4x^2-3xy+2y^2+5xy-7y^2-x^2\)?
Explanation opens after your attempt
Correct Answer
A. \(3x^2+2xy-5y^2\)
Step 1
Concept
\(4x^2-x^2=3x^2\), (-3xy+5xy=2xy), and \(2y^2-7y^2=-5y^2\).
Step 2
Why this answer is correct
The correct answer is A. \(3x^2+2xy-5y^2\). \(4x^2-x^2=3x^2\), (-3xy+5xy=2xy), and \(2y^2-7y^2=-5y^2\).
Step 3
Exam Tip
\(4x^2-x^2=3x^2\), (-3xy+5xy=2xy), और \(2y^2-7y^2=-5y^2\)।
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(2(4x-3y)-5(x-y)+3y) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (2(4x-3y)-5(x-y)+3y)?
Explanation opens after your attempt
Correct Answer
A. (3x+2y)
Step 1
Concept
Expanding gives (8x-6y-5x+5y+3y). Combining like terms gives (3x+2y).
Step 2
Why this answer is correct
The correct answer is A. (3x+2y). Expanding gives (8x-6y-5x+5y+3y). Combining like terms gives (3x+2y).
Step 3
Exam Tip
खोलने पर (8x-6y-5x+5y+3y) मिलता है। समान पद मिलाकर (3x+2y) बनेगा।
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\(3x^2-5xy+2y^2-7x^2+xy-y^2\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(3x^2-5xy+2y^2-7x^2+xy-y^2\)?
Explanation opens after your attempt
Correct Answer
A. \(-4x^2-4xy+y^2\)
Step 1
Concept
\(3x^2-7x^2=-4x^2\), (-5xy+xy=-4xy), and \(2y^2-y^2=y^2\).
Step 2
Why this answer is correct
The correct answer is A. \(-4x^2-4xy+y^2\). \(3x^2-7x^2=-4x^2\), (-5xy+xy=-4xy), and \(2y^2-y^2=y^2\).
Step 3
Exam Tip
\(3x^2-7x^2=-4x^2\), (-5xy+xy=-4xy), और \(2y^2-y^2=y^2\)।
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\(x^2+x+x^2+x+1\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(x^2+x+x^2+x+1\)?
Explanation opens after your attempt
Correct Answer
A. \(2x^2+2x+1\)
Step 1
Concept
The two \(x^2\) terms make \(2x^2\), and the two (x) terms make (2x). The constant (1) remains separate.
Step 2
Why this answer is correct
The correct answer is A. \(2x^2+2x+1\). The two \(x^2\) terms make \(2x^2\), and the two (x) terms make (2x). The constant (1) remains separate.
Step 3
Exam Tip
दो \(x^2\) पद \(2x^2\) बनाते हैं और दो (x) पद (2x) बनाते हैं। स्थिर पद (1) अलग रहता है।
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\(11a^2-4a+6a-5a^2\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(11a^2-4a+6a-5a^2\)?
Explanation opens after your attempt
Correct Answer
B. \(6a^2+2a\)
Step 1
Concept
\(11a^2-5a^2=6a^2\) and (-4a+6a=2a). Combine terms according to powers.
Step 2
Why this answer is correct
The correct answer is B. \(6a^2+2a\). \(11a^2-5a^2=6a^2\) and (-4a+6a=2a). Combine terms according to powers.
Step 3
Exam Tip
\(11a^2-5a^2=6a^2\) और (-4a+6a=2a)। घात के अनुसार पद मिलाएँ।
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(4(3n+2)-2(n+5)) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (4(3n+2)-2(n+5))?
Explanation opens after your attempt
Correct Answer
A. (10n-2)
Step 1
Concept
Expanding gives (12n+8-2n-10). Combining like terms gives (10n-2).
Step 2
Why this answer is correct
The correct answer is A. (10n-2). Expanding gives (12n+8-2n-10). Combining like terms gives (10n-2).
Step 3
Exam Tip
खोलने पर (12n+8-2n-10) मिलता है। समान पद मिलाकर (10n-2) बनेगा।
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\(3p^2-4p+6-2p^2+p\) में सरल करने के बाद \(p^2\) का गुणांक क्या होगा?
After simplifying \(3p^2-4p+6-2p^2+p\), what will be the coefficient of \(p^2\)?
Explanation opens after your attempt
Step 1
Concept
\(3p^2-2p^2=p^2\), so the coefficient of \(p^2\) is (1). Identify coefficients with their signs.
Step 2
Why this answer is correct
The correct answer is C. (1). \(3p^2-2p^2=p^2\), so the coefficient of \(p^2\) is (1). Identify coefficients with their signs.
Step 3
Exam Tip
\(3p^2-2p^2=p^2\) इसलिए \(p^2\) का गुणांक (1) है। गुणांक को चिन्ह सहित पहचानें।
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व्यंजक \(5r^2-2r^2+6r\) का सरल रूप क्या है?
What is the simplified form of \(5r^2-2r^2+6r\)?
Explanation opens after your attempt
Correct Answer
B. \(3r^2+6r\)
Step 1
Concept
\(5r^2\) and \(-2r^2\) are like terms. Their sum is \(3r^2\), and (6r) remains separate.
Step 2
Why this answer is correct
The correct answer is B. \(3r^2+6r\). \(5r^2\) and \(-2r^2\) are like terms. Their sum is \(3r^2\), and (6r) remains separate.
Step 3
Exam Tip
\(5r^2\) और \(-2r^2\) समान पद हैं। उनका योग \(3r^2\) है और (6r) अलग रहता है।
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\(10q^2-4q+q^2+6q\) को सरल करने पर कौन-सा व्यंजक बनेगा?
Which expression is formed after simplifying \(10q^2-4q+q^2+6q\)?
Explanation opens after your attempt
Correct Answer
A. \(11q^2+2q\)
Step 1
Concept
\(10q^2+q^2=11q^2\) and (-4q+6q=2q). Combine terms according to their powers.
Step 2
Why this answer is correct
The correct answer is A. \(11q^2+2q\). \(10q^2+q^2=11q^2\) and (-4q+6q=2q). Combine terms according to their powers.
Step 3
Exam Tip
\(10q^2+q^2=11q^2\) और (-4q+6q=2q)। घात के आधार पर पद मिलाएँ।
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\(x+x^2+2x\) को समान पद मिलाकर कैसे लिखेंगे?
How will \(x+x^2+2x\) be written after combining like terms?
Explanation opens after your attempt
Correct Answer
A. \(x^2+3x\)
Step 1
Concept
(x) and (2x) are like terms and their sum is (3x). \(x^2\) remains a separate term.
Step 2
Why this answer is correct
The correct answer is A. \(x^2+3x\). (x) and (2x) are like terms and their sum is (3x). \(x^2\) remains a separate term.
Step 3
Exam Tip
(x) और (2x) समान पद हैं और उनका योग (3x) है। \(x^2\) अलग पद रहेगा।
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\(4r^2-6r^2+5r\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(4r^2-6r^2+5r\)?
Explanation opens after your attempt
Correct Answer
B. \(-2r^2+5r\)
Step 1
Concept
\(4r^2\) and \(-6r^2\) are like terms and their sum is \(-2r^2\). The term (5r) remains separate.
Step 2
Why this answer is correct
The correct answer is B. \(-2r^2+5r\). \(4r^2\) and \(-6r^2\) are like terms and their sum is \(-2r^2\). The term (5r) remains separate.
Step 3
Exam Tip
\(4r^2\) और \(-6r^2\) समान पद हैं और उनका योग \(-2r^2\) है। (5r) अलग पद रहता है।
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व्यंजक (8s-3s+4) का सरल रूप क्या है?
What is the simplified form of (8s-3s+4)?
Explanation opens after your attempt
Step 1
Concept
(8s-3s=5s), and (4) remains separate. So (5s+4) is correct.
Step 2
Why this answer is correct
The correct answer is D. (5s+4). (8s-3s=5s), and (4) remains separate. So (5s+4) is correct.
Step 3
Exam Tip
(8s-3s=5s) और (4) अलग रहता है। इसलिए (5s+4) सही है।
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(9a+2b-3a) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (9a+2b-3a)?
Explanation opens after your attempt
Correct Answer
A. (6a+2b)
Step 1
Concept
(9a) and (-3a) are like terms, giving (6a). The term (2b) remains separate.
Step 2
Why this answer is correct
The correct answer is A. (6a+2b). (9a) and (-3a) are like terms, giving (6a). The term (2b) remains separate.
Step 3
Exam Tip
(9a) और (-3a) समान पद हैं इसलिए (6a) मिलते हैं। (2b) अलग पद रहता है।
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(4x+2+3x) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (4x+2+3x)?
Explanation opens after your attempt
Step 1
Concept
(4x) and (3x) are like terms, so their sum is (7x). The constant term (2) remains separate.
Step 2
Why this answer is correct
The correct answer is A. (7x+2). (4x) and (3x) are like terms, so their sum is (7x). The constant term (2) remains separate.
Step 3
Exam Tip
(4x) और (3x) समान पद हैं इसलिए उनका योग (7x) है। स्थिर पद (2) अलग रहता है।
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व्यंजक (10q-3q+q) का सरल रूप क्या है?
What is the simplified form of (10q-3q+q)?
Explanation opens after your attempt
Step 1
Concept
The coefficients are (10-3+1=8). So the expression becomes (8q).
Step 2
Why this answer is correct
The correct answer is C. (8q). The coefficients are (10-3+1=8). So the expression becomes (8q).
Step 3
Exam Tip
गुणांक (10-3+1=8) हैं। इसलिए व्यंजक (8q) बनता है।
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