Factor
4\left(2r-5t\right)\left(4r^{2}+10rt+25t^{2}\right)
Evaluate
32r^{3}-500t^{3}
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4\left(8r^{3}-125t^{3}\right)
Factor out 4.
\left(2r-5t\right)\left(4r^{2}+10rt+25t^{2}\right)
Consider 8r^{3}-125t^{3}. Rewrite 8r^{3}-125t^{3} as \left(2r\right)^{3}-\left(5t\right)^{3}. The difference of cubes can be factored using the rule: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).
4\left(2r-5t\right)\left(4r^{2}+10rt+25t^{2}\right)
Rewrite the complete factored expression.
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