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Which of the following expressions is in the form of a difference of two perfect squares, \(a^2-b^2\)?
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Answer and explanation
Correct answer: \(9p^2 - 16q^2\)
\(9p^2-16q^2=(3p)^2-(4q)^2\), so it is a difference of two perfect squares. \(9p^2+16q^2\) is a sum, not a difference. Exam tip: first identify whether both terms are perfect squares.
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What is the correct answer to this question?
\(9p^2 - 16q^2\)
Why is this the correct answer?
\(9p^2-16q^2=(3p)^2-(4q)^2\), so it is a difference of two perfect squares. \(9p^2+16q^2\) is a sum, not a difference. Exam tip: first identify whether both terms are perfect squares.
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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