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Which of the following trinomials can be factorised as a perfect square of a binomial?
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Answer and explanation
Correct answer: \(9p^2+12pq+4q^2\)
\((3p+2q)^2=9p^2+2\cdot3p\cdot2q+4q^2=9p^2+12pq+4q^2\), so A is a perfect square. In B, the last term should be \(4q^2\), not \(5q^2\). Exam tip: compare the middle term with \(2ab\).
Frequently asked questions
What is the correct answer to this question?
\(9p^2+12pq+4q^2\)
Why is this the correct answer?
\((3p+2q)^2=9p^2+2\cdot3p\cdot2q+4q^2=9p^2+12pq+4q^2\), so A is a perfect square. In B, the last term should be \(4q^2\), not \(5q^2\). 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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