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Which of the following identities gives the correct factorised form of the sum of two cubes?
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Answer and explanation
Correct answer: \(x^3+y^3=(x+y)(x^2-xy+y^2)\)
The sum-of-cubes identity is \(x^3+y^3=(x+y)(x^2-xy+y^2)\). Its middle term is negative; \((x-y)\) is used for the difference of cubes. Exam tip: for a sum, first look for the factor \((x+y)\).
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What is the correct answer to this question?
\(x^3+y^3=(x+y)(x^2-xy+y^2)\)
Why is this the correct answer?
The sum-of-cubes identity is \(x^3+y^3=(x+y)(x^2-xy+y^2)\). Its middle term is negative; \((x-y)\) is used for the difference of cubes. Exam tip: for a sum, first look for the factor \((x+y)\).
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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