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Which algebraic identity is used to factorise the expression \(a^2-b^2\)?
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Answer and explanation
Correct answer: \(a^2-b^2=(a-b)(a+b)\)
\(a^2-b^2\) is a difference of two squares, so it factorises as \((a-b)(a+b)\). Option C is the identity for the square of a difference, not a difference of squares. Exam tip: first identify both terms as squares.
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What is the correct answer to this question?
\(a^2-b^2=(a-b)(a+b)\)
Why is this the correct answer?
\(a^2-b^2\) is a difference of two squares, so it factorises as \((a-b)(a+b)\). Option C is the identity for the square of a difference, not a difference of squares. Exam tip: first identify both terms as squares.
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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