Exercise
$144y^{4}-x^{6}$
Step-by-step Solution
Learn how to solve factor by difference of squares problems step by step online. Factor the expression 144y^4-x^6. The power of a product is equal to the product of it's factors raised to the same power. Any expression multiplied by 1 is equal to itself. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{x^6} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 6 and n equals \frac{1}{2}.
Factor the expression 144y^4-x^6
Final answer to the exercise
$\left(12y^{2}+x^{3}\right)\left(12y^{2}-x^{3}\right)$