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Which of the following expressions is the expansion of a perfect square binomial?
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Answer and explanation
Correct answer: \(a^2+10ab+25b^2\)
\((a+5b)^2=a^2+2(a)(5b)+25b^2=a^2+10ab+25b^2\), so option A is a perfect square. In exams, check whether the middle term equals twice the product of the terms.
Frequently asked questions
What is the correct answer to this question?
\(a^2+10ab+25b^2\)
Why is this the correct answer?
\((a+5b)^2=a^2+2(a)(5b)+25b^2=a^2+10ab+25b^2\), so option A is a perfect square. In exams, check whether the middle term equals twice the product of the terms.
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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