Factor
\frac{\left(2a^{3}-3\right)^{2}}{9}
Evaluate
\frac{\left(2a^{3}-3\right)^{2}}{9}
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\frac{4a^{6}-12a^{3}+9}{9}
Factor out \frac{1}{9}.
\left(2a^{3}-3\right)^{2}
Consider 4a^{6}-12a^{3}+9. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=2a^{3} and q=3.
\frac{\left(2a^{3}-3\right)^{2}}{9}
Rewrite the complete factored expression. Polynomial 2a^{3}-3 is not factored since it does not have any rational roots.
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