Exercise
$216m^6-64n^6$
Step-by-step Solution
Learn how to solve common monomial factor problems step by step online. Factor the expression 216m^6-64n^6. Factor the polynomial 216m^6-64n^6 by it's greatest common factor (GCF): 8. 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}.
Factor the expression 216m^6-64n^6
Final answer to the exercise
$8\left(3m^{2}+2n^{2}\right)\left(9m^{4}-6m^{2}n^{2}+4n^{4}\right)$