Final Answer
$\left(x-y\right)\left(x^2+xy+y^{2}\right)$
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Step-by-step Solution
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1
Factor the difference of cubes: $a^3-b^3 = (a-b)(a^2+ab+b^2)$
$\left(x-\left(-\left(-1\right)y^3\right)^{\frac{1}{3}}\right)\left(x^2+x\left(-\left(-1\right)y^3\right)^{\frac{1}{3}}+\left(-\left(-1\right)y^3\right)^{\frac{2}{3}}\right)$
Learn how to solve polynomial factorization problems step by step online.
$\left(x-\left(-\left(-1\right)y^3\right)^{\frac{1}{3}}\right)\left(x^2+x\left(-\left(-1\right)y^3\right)^{\frac{1}{3}}+\left(-\left(-1\right)y^3\right)^{\frac{2}{3}}\right)$
Learn how to solve polynomial factorization problems step by step online. Factor the expression x^3-y^3. Factor the difference of cubes: a^3-b^3 = (a-b)(a^2+ab+b^2). Multiply -1 times -1. Multiply -1 times -1. Multiply -1 times -1.
Final Answer
$\left(x-y\right)\left(x^2+xy+y^{2}\right)$