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Which of the following trinomials is a perfect square?
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Answer and explanation
Correct answer: \(a^2-10a+25\)
A perfect-square trinomial has the form \(p^2-2pq+q^2\). Here, \(-10a=-2\times a\times5\) and \(25=5^2\), so \(a^2-10a+25=(a-5)^2\). Exam tip: check whether the middle term equals \(2pq\).
Frequently asked questions
What is the correct answer to this question?
\(a^2-10a+25\)
Why is this the correct answer?
A perfect-square trinomial has the form \(p^2-2pq+q^2\). Here, \(-10a=-2\times a\times5\) and \(25=5^2\), so \(a^2-10a+25=(a-5)^2\). Exam tip: check whether the middle term equals \(2pq\).
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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