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Which of the following trinomials is correctly identified as a perfect-square trinomial?
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Answer and explanation
Correct answer: \(9a^2-24ab+16b^2\)
Here \(9a^2=(3a)^2\) and \(16b^2=(4b)^2\). The middle term is \(-2(3a)(4b)=-24ab\), so it matches \((3a-4b)^2\). In exams, always check the sign of the middle term.
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What is the correct answer to this question?
\(9a^2-24ab+16b^2\)
Why is this the correct answer?
Here \(9a^2=(3a)^2\) and \(16b^2=(4b)^2\). The middle term is \(-2(3a)(4b)=-24ab\), so it matches \((3a-4b)^2\). 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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