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Which of the following expressions is not generally a perfect square of a binomial?
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Answer and explanation
Correct answer: \(a^2-b^2\)
\(a^2-b^2=(a+b)(a-b)\) is a difference of squares, so it is not generally the square of a binomial. In contrast, A, B and D are \((a+b)^2\), \((a-b)^2\) and \((2a+b)^2\). Exam tip: use the middle term to identify the binomial signs.
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What is the correct answer to this question?
\(a^2-b^2\)
Why is this the correct answer?
\(a^2-b^2=(a+b)(a-b)\) is a difference of squares, so it is not generally the square of a binomial. In contrast, A, B and D are \((a+b)^2\), \((a-b)^2\) and \((2a+b)^2\). Exam tip: use the middle term to identify the binomial signs.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
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