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Exercise

125m3−8n35m−2n\frac{125m^3-8n^3}{5m-2n}

Step-by-step Solution

Learn how to solve problems step by step online. Simplify the expression (125m^3-8n^3)/(5m-2n). Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). The power of a product is equal to the product of it's factors raised to the same power. Calculate the power \sqrt[3]{125}. The power of a product is equal to the product of it's factors raised to the same power.
Simplify the expression (125m^3-8n^3)/(5m-2n)

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Final answer to the exercise

(5m+2n)(25m2−10mn+4n2)5m−2n\frac{\left(5m+2n\right)\left(25m^{2}-10mn+4n^{2}\right)}{5m-2n}

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125m3−8n35m−2n 
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