$$24 { a }^{ 2 } x { y }^{ 2 } -36 { x }^{ 2 } { y }^{ 4 }$$
$12xy^{2}\left(2a^{2}-3xy^{2}\right)$
$$12\left(2a^{2}xy^{2}-3x^{2}y^{4}\right)$$
$$xy^{2}\left(2a^{2}-3xy^{2}\right)$$
$$12xy^{2}\left(2a^{2}-3xy^{2}\right)$$
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$24x\left(ay\right)^{2}-36x^{2}y^{4}$