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Which of the following expressions can be factorised directly using the identity of difference of squares, \(a^2-b^2=(a-b)(a+b)\)?
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Answer and explanation
Correct answer: \(25m^2-n^2\)
\(25m^2-n^2=(5m)^2-n^2\) is a difference of two squares, so it factorises as \((5m-n)(5m+n)\). Options A and B are perfect-square trinomials, while D is a sum of squares. Exam tip: first rewrite each term as a square.
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What is the correct answer to this question?
\(25m^2-n^2\)
Why is this the correct answer?
\(25m^2-n^2=(5m)^2-n^2\) is a difference of two squares, so it factorises as \((5m-n)(5m+n)\). Options A and B are perfect-square trinomials, while D is a sum of squares. Exam tip: first rewrite each term as a square.
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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