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Which type of expression can be factorised directly using the identity \(a^2-b^2=(a-b)(a+b)\)?

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Answer and explanation

Correct answer: Difference of two perfect-square terms

In \(a^2-b^2\), both terms are perfect squares joined by subtraction, so it becomes \((a-b)(a+b)\). A sum of squares does not use this identity. Exam tip: check the sign between the squared terms first.

Related tags

Algebraic IdentitiesFactorisationDifference Of SquaresClass 9 MathematicsConceptual Question

Frequently asked questions

What is the correct answer to this question?

Difference of two perfect-square terms

Why is this the correct answer?

In \(a^2-b^2\), both terms are perfect squares joined by subtraction, so it becomes \((a-b)(a+b)\). A sum of squares does not use this identity. Exam tip: check the sign between the squared 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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