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Class 9MathematicsExploring Algebraic IdentitiesFactorisationHardLevel 70
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Which of the following expressions is a perfect-square trinomial and can be written as a product of two identical binomials?

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Answer and explanation

Correct answer: 9p² − 24pq + 16q²

In option A, 9p² = (3p)² and 16q² = (4q)², while the middle term −24pq equals −2(3p)(4q). Hence it is (3p − 4q)². In exams, compare the middle term with ±2ab.

Related tags

Algebraic IdentitiesFactorisationPerfect Square TrinomialQuadratic ExpressionsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

9p² − 24pq + 16q²

Why is this the correct answer?

In option A, 9p² = (3p)² and 16q² = (4q)², while the middle term −24pq equals −2(3p)(4q). Hence it is (3p − 4q)². In exams, compare the middle term with ±2ab.

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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  3. 3Which common factor will be taken out from (xy+xz)?
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  6. 6Which of the following expressions is a difference of two squares and can be factorised using the identity?
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  8. 8Which is the correct factorisation of (x^2-16)?
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