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Which of the following expressions is a perfect-square trinomial and can be factorised using an identity?
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Answer and explanation
Correct answer: \(4p^2-12pq+9q^2\)
Here, \(4p^2=(2p)^2\) and \(9q^2=(3q)^2\). The middle term is \(-2(2p)(3q)=-12pq\), so A is \((2p-3q)^2\). In exams, always check the sign of the middle term.
Frequently asked questions
What is the correct answer to this question?
\(4p^2-12pq+9q^2\)
Why is this the correct answer?
Here, \(4p^2=(2p)^2\) and \(9q^2=(3q)^2\). The middle term is \(-2(2p)(3q)=-12pq\), so A is \((2p-3q)^2\). In exams, 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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