Final answer to the problem
$\left(x-y\right)\left(x^2+xy+y^{2}\right)$
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Step-by-step Solution
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- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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1
Factor the difference of cubes: $a^3-b^3 = (a-b)(a^2+ab+b^2)$
$\left(x-y\right)\left(x^2+xy+\sqrt[3]{\left(y^3\right)^{2}}\right)$
Learn how to solve 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). Simplify \sqrt[3]{\left(y^3\right)^{2}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{2}{3}. Multiply the fraction and term in 3\cdot \left(\frac{2}{3}\right). Multiply 3 times 2.
Final answer to the problem
$\left(x-y\right)\left(x^2+xy+y^{2}\right)$
