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3\left(a^{3}-9a\right)
Factor out 3.
a\left(a^{2}-9\right)
Consider a^{3}-9a. Factor out a.
\left(a-3\right)\left(a+3\right)
Consider a^{2}-9. Rewrite a^{2}-9 as a^{2}-3^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).
3a\left(a-3\right)\left(a+3\right)
Rewrite the complete factored expression.