Exercise
$27x^3+125m^{12}$
Step-by-step Solution
Learn how to solve common monomial factor problems step by step online. Factor the expression 27x^3+125m^12. 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.
Factor the expression 27x^3+125m^12
Final answer to the exercise
$\left(3x+5m^{4}\right)\left(9x^{2}-15xm^{4}+25m^{8}\right)$