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Which of the following expressions can be factorised as \((m-n)^2\)?
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Answer and explanation
Correct answer: \(m^2-2mn+n^2\)
The identity is \((m-n)^2=m^2-2mn+n^2\), so option A is a perfect-square trinomial. Option C factorises as \((m-n)(m+n)\), making it a difference of squares, not a square. Exam tip: check that the middle term is \(-2mn\).
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What is the correct answer to this question?
\(m^2-2mn+n^2\)
Why is this the correct answer?
The identity is \((m-n)^2=m^2-2mn+n^2\), so option A is a perfect-square trinomial. Option C factorises as \((m-n)(m+n)\), making it a difference of squares, not a square. Exam tip: check that the middle term is \(-2mn\).
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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