Exercise
$729y^6-64z^3$
Step-by-step Solution
Learn how to solve common monomial factor problems step by step online. Factor the expression 729y^6-64z^3. 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]{729}. The power of a product is equal to the product of it's factors raised to the same power.
Factor the expression 729y^6-64z^3
Final answer to the exercise
$\left(9y^{2}+4z\right)\left(81y^{4}-36y^{2}z+16z^{2}\right)$