Exercise
$100x^4-400y^2$
Step-by-step Solution
Learn how to solve problems step by step online. Factor the expression 100x^4-400y^2. Factor the polynomial 100x^4-400y^2 by it's greatest common factor (GCF): 100. Simplify \sqrt{x^{4}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 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{x^{4}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}.
Factor the expression 100x^4-400y^2
Final answer to the exercise
$100\left(x^{2}+2y\right)\left(x^{2}-2y\right)$