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Subjects
Class 9MathematicsExploring Algebraic IdentitiesFactorisationHardLevel 71
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Which of the following expressions can be identified as a difference of two perfect squares?

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Answer and explanation

Correct answer: 49p^2-q^2

In 49p^2-q^2, 49p^2=(7p)^2 and q^2 is also a perfect square, with a minus sign between them. Hence it is a difference of squares. Options A and D are perfect-square trinomials. Exam tip: check for two square terms separated by ‘−’.

Related tags

Algebraic IdentitiesFactorisationDifference Of SquaresPerfect SquaresClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

49p^2-q^2

Why is this the correct answer?

In 49p^2-q^2, 49p^2=(7p)^2 and q^2 is also a perfect square, with a minus sign between them. Hence it is a difference of squares. Options A and D are perfect-square trinomials. Exam tip: check for two square terms separated by ‘−’.

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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