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Which of the following expressions is a perfect square and can be factorised as the product of two identical binomials?
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Answer and explanation
Correct answer: \(4a^2-12ab+9b^2\)
Here \(4a^2=(2a)^2\) and \(9b^2=(3b)^2\), while the middle term is \(-2(2a)(3b)=-12ab\). Thus it is \((2a-3b)^2\). Exam tip: always check the sign of the middle term.
Frequently asked questions
What is the correct answer to this question?
\(4a^2-12ab+9b^2\)
Why is this the correct answer?
Here \(4a^2=(2a)^2\) and \(9b^2=(3b)^2\), while the middle term is \(-2(2a)(3b)=-12ab\). Thus it is \((2a-3b)^2\). Exam tip: always check the sign of the middle term.
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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