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What will be the factorised form of (7x+7y+2x+2y)?
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Answer and explanation
Correct answer: \(9(x+y)\)
Group the terms: \(7x+7y+2x+2y=7(x+y)+2(x+y)\). The common factor is \((x+y)\), so the expression becomes \((7+2)(x+y)=9(x+y)\). Option D leaves out the \(2x+2y\) part. Exam tip: while factorising by grouping, first identify the common binomial factor.
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What is the correct answer to this question?
\(9(x+y)\)
Why is this the correct answer?
Group the terms: \(7x+7y+2x+2y=7(x+y)+2(x+y)\). The common factor is \((x+y)\), so the expression becomes \((7+2)(x+y)=9(x+y)\). Option D leaves out the \(2x+2y\) part. Exam tip: while factorising by grouping, first identify the common binomial factor.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Factorisation.
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