Exercise
$\frac{n^6-27y^3}{n^2-3y}$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the expression (n^6-27y^3)/(n^2-3y). 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 (n^6-27y^3)/(n^2-3y)
Final answer to the exercise
$\frac{\left(n^{2}+3y\right)\left(n^{4}-3n^{2}y+9y^{2}\right)}{n^2-3y}$