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Which of the following expressions is a perfect-square trinomial that can be factorised using the identity a+b ?
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Answer and explanation
Correct answer: \(p^2+6pq+9q^2\)
\((p+3q)^2=p^2+2(p)(3q)+(3q)^2=p^2+6pq+9q^2\), so A is correct. In C, the middle term is negative, so it matches \((a-b)^2\), not \((a+b)^2\). Exam tip: compare the middle term with \(2ab\).
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What is the correct answer to this question?
\(p^2+6pq+9q^2\)
Why is this the correct answer?
\((p+3q)^2=p^2+2(p)(3q)+(3q)^2=p^2+6pq+9q^2\), so A is correct. In C, the middle term is negative, so it matches \((a-b)^2\), not \((a+b)^2\). Exam tip: compare the middle term with \(2ab\).
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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