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