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Which of the following expressions has \(x-2y\) as a factor in its complete factorisation?
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Answer and explanation
Correct answer: \(x^3-8y^3\)
\(x^3-8y^3=x^3-(2y)^3=(x-2y)(x^2+2xy+4y^2)\), so \(x-2y\) is a factor. In \(x^3+8y^3\), the factor is \(x+2y\). Exam tip: identify the difference-of-cubes pattern first.
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What is the correct answer to this question?
\(x^3-8y^3\)
Why is this the correct answer?
\(x^3-8y^3=x^3-(2y)^3=(x-2y)(x^2+2xy+4y^2)\), so \(x-2y\) is a factor. In \(x^3+8y^3\), the factor is \(x+2y\). Exam tip: identify the difference-of-cubes pattern first.
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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