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Which of the following expressions can be factorised using only the identity for the difference of squares, \(a^2-b^2=(a-b)(a+b)\)?
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Answer and explanation
Correct answer: \(x^2-25y^2\)
\(x^2-25y^2=x^2-(5y)^2\), so it factorises as \((x-5y)(x+5y)\). Options C and D are perfect-square trinomials. In exams, check for a minus sign between two square terms.
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What is the correct answer to this question?
\(x^2-25y^2\)
Why is this the correct answer?
\(x^2-25y^2=x^2-(5y)^2\), so it factorises as \((x-5y)(x+5y)\). Options C and D are perfect-square trinomials. In exams, check for a minus sign between two square 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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