Exercise
$\frac{8x^3-27a^3}{2x-3a}$
Step-by-step Solution
Learn how to solve equations problems step by step online. Simplify the expression (8x^3-27a^3)/(2x-3a). 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]{8}. The power of a product is equal to the product of it's factors raised to the same power.
Simplify the expression (8x^3-27a^3)/(2x-3a)
Final answer to the exercise
$\frac{\left(2x+3a\right)\left(4x^{2}-6xa+9a^{2}\right)}{2x-3a}$