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a^{3}\left(4x^{2}y^{2}-12xy+9\right)
Factor out a^{3}.
\left(2xy-3\right)^{2}
Consider 4x^{2}y^{2}-12xy+9. Use the perfect square formula, p^{2}-2pq+q^{2}=\left(p-q\right)^{2}, where p=2xy and q=3.
a^{3}\left(2xy-3\right)^{2}
Rewrite the complete factored expression.