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Which of the following expressions is a perfect-square trinomial and can be factorised in the form \((a+b)^2\)?
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Answer and explanation
Correct answer: \(a^2+2ab+b^2\)
Using \((a+b)^2=a^2+2ab+b^2\), option A has the required square terms and middle term \(2ab\). Option B has only \(ab\). Exam tip: check whether the middle term is twice the product of the roots of the end terms.
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What is the correct answer to this question?
\(a^2+2ab+b^2\)
Why is this the correct answer?
Using \((a+b)^2=a^2+2ab+b^2\), option A has the required square terms and middle term \(2ab\). Option B has only \(ab\). Exam tip: check whether the middle term is twice the product of the roots of the end terms.
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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