\(2a^2b+6ab^2+4ab\) का पूर्ण गुणनखंडन क्या है?
What is the complete factorisation of \(2a^2b+6ab^2+4ab\)?
#common monomial
#multiple variables
#factorisation
A (2ab(a+3b+2))
B (2a\(a b+3b^2+2b\))
C (ab(2a+6b+4))
D (2b\(a^2+3ab+2a\))
Explanation opens after your attempt
Correct Answer
A. (2ab(a+3b+2))
Step 1
Concept
(2ab) is common in all three terms. Taking it out leaves (a+3b+2).
Step 2
Why this answer is correct
The correct answer is A. (2ab(a+3b+2)). (2ab) is common in all three terms. Taking it out leaves (a+3b+2).
Step 3
Exam Tip
तीनों पदों में (2ab) समान है। बाहर निकालने पर (a+3b+2) बचता है।
Login to save your score, XP, coins and progress. Login
(6xy+9xz) का गुणनखंडन क्या है?
What is the factorisation of (6xy+9xz)?
#common factor
#multiple variables
#factorisation
A (3x(2y+3z))
B (3(2xy+9xz))
C (x(6y+9z))
D (9x(6y+z))
Explanation opens after your attempt
Correct Answer
A. (3x(2y+3z))
Step 1
Concept
(3x) is common in both terms. Therefore (6xy+9xz=3x(2y+3z)).
Step 2
Why this answer is correct
The correct answer is A. (3x(2y+3z)). (3x) is common in both terms. Therefore (6xy+9xz=3x(2y+3z)).
Step 3
Exam Tip
दोनों पदों में (3x) समान है। इसलिए (6xy+9xz=3x(2y+3z)) होगा।
Login to save your score, XP, coins and progress. Login
\(4x^2y-6xy^2-7x^2y+2xy^2\) 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।
Login to save your score, XP, coins and progress. Login
\(9u^2v-5uv+3u^2v+8uv-10\) 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।
Login to save your score, XP, coins and progress. Login
\(9a^2b-4ab^2-6a^2b+11ab^2\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(9a^2b-4ab^2-6a^2b+11ab^2\)?
#algebraic-expressions
#like-terms
#multiple-variables
A \(15a^2b+7ab^2\)
B \(3a^2b-15ab^2\)
C \(3a^2b+7ab^2\)
D \(10a^3b^3\)
Explanation opens after your attempt
Correct Answer
C. \(3a^2b+7ab^2\)
Step 1
Concept
Terms with \(a^2b\) and \(ab^2\) combine separately. Therefore the simplified form is \(3a^2b+7ab^2\).
Step 2
Why this answer is correct
The correct answer is C. \(3a^2b+7ab^2\). Terms with \(a^2b\) and \(ab^2\) combine separately. Therefore the simplified form is \(3a^2b+7ab^2\).
Step 3
Exam Tip
\(a^2b\) और \(ab^2\) वाले पद अलग-अलग मिलते हैं। इसलिए सरल रूप \(3a^2b+7ab^2\) है।
Login to save your score, XP, coins and progress. Login
\(3x^2y+2xy^2-5x^2y+8xy^2\) को सरल करने पर \(x^2y\) का गुणांक क्या होगा?
After simplifying \(3x^2y+2xy^2-5x^2y+8xy^2\), what will be the coefficient of \(x^2y\)?
#algebraic-expressions
#coefficient
#multiple-variables
A (8)
B (-2)
C (10)
D (2)
Explanation opens after your attempt
Step 1
Concept
The \(x^2y\) terms are \(3x^2y\) and \(-5x^2y\). Their sum is \(-2x^2y\).
Step 2
Why this answer is correct
The correct answer is B. (-2). The \(x^2y\) terms are \(3x^2y\) and \(-5x^2y\). Their sum is \(-2x^2y\).
Step 3
Exam Tip
\(x^2y\) वाले पद \(3x^2y\) और \(-5x^2y\) हैं। इनका योग \(-2x^2y\) है।
Login to save your score, XP, coins and progress. Login
\(5u^2v-3uv+2u^2v+6uv-4\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(5u^2v-3uv+2u^2v+6uv-4\)?
#algebraic-expressions
#simplification
#multiple-variables
A \(7u^2v+3uv-4\)
B \(3u^2v+3uv-4\)
C \(7u^2v-9uv-4\)
D \(7u^3v^2+3uv-4\)
Explanation opens after your attempt
Correct Answer
A. \(7u^2v+3uv-4\)
Step 1
Concept
\(5u^2v+2u^2v=7u^2v\) and (-3uv+6uv=3uv). The constant term (-4) remains separate.
Step 2
Why this answer is correct
The correct answer is A. \(7u^2v+3uv-4\). \(5u^2v+2u^2v=7u^2v\) and (-3uv+6uv=3uv). The constant term (-4) remains separate.
Step 3
Exam Tip
\(5u^2v+2u^2v=7u^2v\) और (-3uv+6uv=3uv)। स्थिर पद (-4) अलग रहेगा।
Login to save your score, XP, coins and progress. Login
\(6a^2b+2ab^2-4a^2b+9ab^2\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(6a^2b+2ab^2-4a^2b+9ab^2\)?
#algebraic-expressions
#like-terms
#multiple-variables
A \(10a^2b+11ab^2\)
B \(2a^2b+7ab^2\)
C \(2a^2b+11ab^2\)
D \(13a^3b^3\)
Explanation opens after your attempt
Correct Answer
C. \(2a^2b+11ab^2\)
Step 1
Concept
Terms with \(a^2b\) and \(ab^2\) combine separately. Therefore, the result is \(2a^2b+11ab^2\).
Step 2
Why this answer is correct
The correct answer is C. \(2a^2b+11ab^2\). Terms with \(a^2b\) and \(ab^2\) combine separately. Therefore, the result is \(2a^2b+11ab^2\).
Step 3
Exam Tip
\(a^2b\) वाले पद और \(ab^2\) वाले पद अलग-अलग मिलते हैं। इसलिए परिणाम \(2a^2b+11ab^2\) है।
Login to save your score, XP, coins and progress. Login
\(9r^2s-4rs+rs-5r^2s\) को सरल करने पर \(r^2s\) का गुणांक क्या होगा?
After simplifying \(9r^2s-4rs+rs-5r^2s\), what will be the coefficient of \(r^2s\)?
#algebraic-expressions
#coefficient
#multiple-variables
A (14)
B (4)
C (-3)
D (3)
Explanation opens after your attempt
Step 1
Concept
The \(r^2s\) terms are \(9r^2s\) and \(-5r^2s\). Their sum is \(4r^2s\).
Step 2
Why this answer is correct
The correct answer is B. (4). The \(r^2s\) terms are \(9r^2s\) and \(-5r^2s\). Their sum is \(4r^2s\).
Step 3
Exam Tip
\(r^2s\) वाले पद \(9r^2s\) और \(-5r^2s\) हैं। उनका योग \(4r^2s\) है।
Login to save your score, XP, coins and progress. Login
\(4a^2b-3ab^2+5a^2b+7ab^2\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(4a^2b-3ab^2+5a^2b+7ab^2\)?
#algebraic-expressions
#like-terms
#multiple-variables
A \(9a^2b+4ab^2\)
B \(9a^2b-10ab^2\)
C \(16a^3b^3\)
D \(a^2b+12ab^2\)
Explanation opens after your attempt
Correct Answer
A. \(9a^2b+4ab^2\)
Step 1
Concept
Terms with \(a^2b\) and \(ab^2\) combine separately. Therefore the answer is \(9a^2b+4ab^2\).
Step 2
Why this answer is correct
The correct answer is A. \(9a^2b+4ab^2\). Terms with \(a^2b\) and \(ab^2\) combine separately. Therefore the answer is \(9a^2b+4ab^2\).
Step 3
Exam Tip
\(a^2b\) वाले पद और \(ab^2\) वाले पद अलग-अलग मिलेंगे। इसलिए उत्तर \(9a^2b+4ab^2\) है।
Login to save your score, XP, coins and progress. Login
\(5p^2q-3pq+2p^2q\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(5p^2q-3pq+2p^2q\)?
#algebraic-expressions
#simplification
#multiple-variables
A \(7p^2q-3pq\)
B \(10p^2q-3pq\)
C (7pq-3pq)
D \(4p^2q\)
Explanation opens after your attempt
Correct Answer
A. \(7p^2q-3pq\)
Step 1
Concept
\(5p^2q\) and \(2p^2q\) are like terms. (-3pq) has a different variable part.
Step 2
Why this answer is correct
The correct answer is A. \(7p^2q-3pq\). \(5p^2q\) and \(2p^2q\) are like terms. (-3pq) has a different variable part.
Step 3
Exam Tip
\(5p^2q\) और \(2p^2q\) समान पद हैं। (-3pq) अलग चर भाग वाला पद है।
Login to save your score, XP, coins and progress. Login
\(3ab^2\) और \(-10ab^2\) के बारे में सही कथन कौन-सा है?
Which statement is correct about \(3ab^2\) and \(-10ab^2\)?
#algebraic-expressions
#like-terms
#multiple-variables
A ये स्थिर पद हैं / They are constant terms
B ये असमान पद हैं / They are unlike terms
C ये समान पद हैं / They are like terms
D इनके चर भाग अलग हैं / Their variable parts are different
Explanation opens after your attempt
Correct Answer
C. ये समान पद हैं / They are like terms
Step 1
Concept
Both terms have the same variable part \(ab^2\). Terms can be like even if coefficients are different.
Step 2
Why this answer is correct
The correct answer is C. ये समान पद हैं / They are like terms. Both terms have the same variable part \(ab^2\). Terms can be like even if coefficients are different.
Step 3
Exam Tip
दोनों पदों का चर भाग \(ab^2\) समान है। गुणांक अलग होने पर भी पद समान हो सकते हैं।
Login to save your score, XP, coins and progress. Login
\(8a^2b-3a^2b+4ab\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(8a^2b-3a^2b+4ab\)?
#algebraic-expressions
#like-terms
#multiple-variables
A \(5a^2b+4ab\)
B (5ab+4ab)
C \(9a^2b\)
D \(11a^2b+4ab\)
Explanation opens after your attempt
Correct Answer
A. \(5a^2b+4ab\)
Step 1
Concept
\(8a^2b\) and \(-3a^2b\) are like terms. (4ab) has different powers, so it remains separate.
Step 2
Why this answer is correct
The correct answer is A. \(5a^2b+4ab\). \(8a^2b\) and \(-3a^2b\) are like terms. (4ab) has different powers, so it remains separate.
Step 3
Exam Tip
\(8a^2b\) और \(-3a^2b\) समान पद हैं। (4ab) की घातें अलग हैं इसलिए वह अलग रहेगा।
Login to save your score, XP, coins and progress. Login
