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Which of the following expressions can be factorised using the identity \(a^2+2ab+b^2=(a+b)^2\)?
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Answer and explanation
Correct answer: \(x^2+10x+25\)
In \(x^2+10x+25\), \(10x=2\times x\times5\) and \(25=5^2\), so it becomes \((x+5)^2\). In option B, the constant term is not \(5^2\). Exam tip: match the middle term with \(2ab\).
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What is the correct answer to this question?
\(x^2+10x+25\)
Why is this the correct answer?
In \(x^2+10x+25\), \(10x=2\times x\times5\) and \(25=5^2\), so it becomes \((x+5)^2\). In option B, the constant term is not \(5^2\). Exam tip: match 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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