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Which of the following expressions can be identified as a difference of two perfect squares and factorised using the identity \(A^2-B^2=(A-B)(A+B)\)?
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Answer and explanation
Correct answer: \(49p^2-64q^2\)
Here, \(49p^2=(7p)^2\) and \(64q^2=(8q)^2\), so the expression is a difference of perfect squares. \(49p^2+64q^2\) is a sum, not a difference. Exam tip: check both terms for perfect squares first.
Frequently asked questions
What is the correct answer to this question?
\(49p^2-64q^2\)
Why is this the correct answer?
Here, \(49p^2=(7p)^2\) and \(64q^2=(8q)^2\), so the expression is a difference of perfect squares. \(49p^2+64q^2\) is a sum, not a difference. Exam tip: check both terms for perfect squares 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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