Factor
\left(A-5\right)\left(A^{2}+5A+25\right)
Evaluate
A^{3}-125
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\left(A-5\right)\left(A^{2}+5A+25\right)
Rewrite A^{3}-125 as A^{3}-5^{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). Polynomial A^{2}+5A+25 is not factored since it does not have any rational roots.
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