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Which of the following trinomials is a perfect-square trinomial and can therefore be factorised as the product of two identical binomials?
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Answer and explanation
Correct answer: \(p^2+14p+49\)
In \(p^2+14p+49\), \(49=7^2\) and the middle term \(14p=2\times p\times7\). Hence it is \((p+7)^2\). In exams, check whether the middle term equals \(2ab\).
Frequently asked questions
What is the correct answer to this question?
\(p^2+14p+49\)
Why is this the correct answer?
In \(p^2+14p+49\), \(49=7^2\) and the middle term \(14p=2\times p\times7\). Hence it is \((p+7)^2\). In exams, check whether the middle term equals \(2ab\).
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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