Evaluate
125a^{3}+64b^{3}
Factor
\left(5a+4b\right)\left(25a^{2}-20ab+16b^{2}\right)
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125a^{3}+64b^{3}
The opposite of -64b^{3} is 64b^{3}.
\left(5a+4b\right)\left(25a^{2}-20ab+16b^{2}\right)
Rewrite 125a^{3}+64b^{3} as \left(5a\right)^{3}+\left(4b\right)^{3}. The sum of cubes can be factored using the rule: p^{3}+q^{3}=\left(p+q\right)\left(p^{2}-pq+q^{2}\right).
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