Factor
3\left(q-3r\right)\left(q^{2}+3qr+9r^{2}\right)
Evaluate
3\left(q^{3}-27r^{3}\right)
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3\left(q^{3}-27r^{3}\right)
Factor out 3.
\left(q-3r\right)\left(q^{2}+3qr+9r^{2}\right)
Consider q^{3}-27r^{3}. Rewrite q^{3}-27r^{3} as q^{3}-\left(3r\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).
3\left(q-3r\right)\left(q^{2}+3qr+9r^{2}\right)
Rewrite the complete factored expression.
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