Exercise
$9m^2-36n^4$
Step-by-step Solution
Learn how to solve factor by difference of squares problems step by step online. Factor the expression 9m^2-36n^4. Factor the polynomial 9m^2-36n^4 by it's greatest common factor (GCF): 9. Simplify \sqrt{m^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{m^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}.
Factor the expression 9m^2-36n^4
Final answer to the exercise
$9\left(m+2n^{2}\right)\left(m-2n^{2}\right)$