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Which of the following trinomials can be factorised as the product of two identical binomials, that is, as a perfect square?
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Answer and explanation
Correct answer: \(p^2+2pq+q^2\)
In \(p^2+2pq+q^2\), the first and last terms are \(p^2\) and \(q^2\), while the middle term is \(2pq\). Hence it equals \((p+q)^2\). Exam tip: always check both the sign and coefficient of the middle term.
Frequently asked questions
What is the correct answer to this question?
\(p^2+2pq+q^2\)
Why is this the correct answer?
In \(p^2+2pq+q^2\), the first and last terms are \(p^2\) and \(q^2\), while the middle term is \(2pq\). Hence it equals \((p+q)^2\). Exam tip: always check both the sign and coefficient 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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