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Which of the following algebraic identities gives the factorised form of the difference of two squares?
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Answer and explanation
Correct answer: \(a^2-b^2=(a+b)(a-b)\)
\(a^2-b^2\) is the difference of two perfect squares, so it factorises as \((a+b)(a-b)\). Option B is the identity for the square of a binomial, not a difference of squares. Exam tip: identify both square terms first.
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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 the difference of two perfect squares, so it factorises as \((a+b)(a-b)\). Option B is the identity for the square of a binomial, not a difference of squares. Exam tip: identify both square terms first.
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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