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Which of the following binomials is a factor of \(x^3+8y^3\)?
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Answer and explanation
Correct answer: \(x+2y\)
Use \(a^3+b^3=(a+b)(a^2-ab+b^2)\). Here, \(a=x\) and \(b=2y\), so \(x+2y\) is a factor. \(x-2y\) is associated with a difference of cubes. Exam tip: identify the cube bases first.
Frequently asked questions
What is the correct answer to this question?
\(x+2y\)
Why is this the correct answer?
Use \(a^3+b^3=(a+b)(a^2-ab+b^2)\). Here, \(a=x\) and \(b=2y\), so \(x+2y\) is a factor. \(x-2y\) is associated with a difference of cubes. Exam tip: identify the cube bases first.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
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