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Which of the following expressions can be identified and factorised as a difference of two perfect squares, \(A^2-B^2\)?
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Answer and explanation
Correct answer: \(25p^2-16q^2\)
\(25p^2-16q^2=(5p)^2-(4q)^2\), so it factorises as \((5p-4q)(5p+4q)\). Options C and D are perfect-square trinomials, while B is a sum of squares. Exam tip: first identify square roots of both terms.
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What is the correct answer to this question?
\(25p^2-16q^2\)
Why is this the correct answer?
\(25p^2-16q^2=(5p)^2-(4q)^2\), so it factorises as \((5p-4q)(5p+4q)\). Options C and D are perfect-square trinomials, while B is a sum of squares. Exam tip: first identify square roots of both terms.
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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