$$54a { a }^{ 4 } { x }^{ 3 } { y }^{ 2 } -36 { a }^{ 2 } { x }^{ 3 } { y }^{ 3 } +63 { a }^{ 4 } { x }^{ 2 } { y }^{ 3 } =$$
$9a^{2}x^{2}y^{2}\left(7ya^{2}+6xa^{3}-4xy\right)$
$$9\left(6aa^{4}x^{3}y^{2}-4a^{2}x^{3}y^{3}+7a^{4}x^{2}y^{3}\right)$$
$$x^{2}y^{2}a^{2}\left(6xa^{3}-4xy+7a^{2}y\right)$$
$$9x^{2}y^{2}a^{2}\left(6xa^{3}-4xy+7a^{2}y\right)$$
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$9\left(7ya^{2}+6xa^{3}-4xy\right)\left(axy\right)^{2}$
