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Which of the following expressions is a factor of \(x^3+8\)?
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Answer and explanation
Correct answer: \(x+2\)
\(x^3+8=x^3+2^3\) is a sum of cubes. Using \(a^3+b^3=(a+b)(a^2-ab+b^2)\), one factor is \(x+2\). \(x-2\) is associated with a difference of cubes. Exam tip: identify the sign before selecting the identity.
Frequently asked questions
What is the correct answer to this question?
\(x+2\)
Why is this the correct answer?
\(x^3+8=x^3+2^3\) is a sum of cubes. Using \(a^3+b^3=(a+b)(a^2-ab+b^2)\), one factor is \(x+2\). \(x-2\) is associated with a difference of cubes. Exam tip: identify the sign before selecting the identity.
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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