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Which of the following expressions can be factorised using the algebraic identity for the difference of two squares?
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Answer and explanation
Correct answer: \(a^2-b^2\)
\(a^2-b^2\) is a difference of two perfect squares, so \(a^2-b^2=(a-b)(a+b)\). Option B is a perfect-square trinomial, \((a+b)^2\), not a difference of squares. Exam tip: check for a minus sign between square terms first.
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What is the correct answer to this question?
\(a^2-b^2\)
Why is this the correct answer?
\(a^2-b^2\) is a difference of two perfect squares, so \(a^2-b^2=(a-b)(a+b)\). Option B is a perfect-square trinomial, \((a+b)^2\), not a difference of squares. Exam tip: check for a minus sign between square terms first.
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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