Difference of cubes Calculator

Get detailed solutions to your math problems with our Difference of cubes step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here!

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log

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d/dx

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sin

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sec

csc

asin

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tanh

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sech

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asinh

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Example

Solved Problems

Difficult Problems

Solved example of difference of cubes

$factor\left(x^3-y^3\right)$

Factor the difference of cubes: $a^3-b^3 = (a-b)(a^2+ab+b^2)$

$\left(x-\sqrt[3]{y^3}\right)\left(x^2+x\sqrt[3]{y^3}+\sqrt[3]{\left(y^3\right)^{2}}\right)$

Cancel exponents $3$ and $0.3333$

$\left(x-y\right)\left(x^2+x\sqrt[3]{y^3}+\sqrt[3]{\left(y^3\right)^{2}}\right)$

Applying the power of a power property

$\left(x-y\right)\left(x^2+xy+\sqrt[3]{\left(y^3\right)^{2}}\right)$