Factor
\frac{\left(4x^{2}-15y^{2}\right)\left(4x^{2}+15y^{2}\right)}{400}
Evaluate
\frac{x^{4}}{25}-\frac{9y^{4}}{16}
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\frac{16x^{4}-225y^{4}}{400}
Factor out \frac{1}{400}.
\left(4x^{2}-15y^{2}\right)\left(4x^{2}+15y^{2}\right)
Consider 16x^{4}-225y^{4}. Rewrite 16x^{4}-225y^{4} as \left(4x^{2}\right)^{2}-\left(15y^{2}\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\frac{\left(4x^{2}-15y^{2}\right)\left(4x^{2}+15y^{2}\right)}{400}
Rewrite the complete factored expression.
Examples
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