$$( a ^ { 4 } ) ^ { 2 } + a ^ { 4 } y ^ { 4 } + ( a ^ { 4 } ) ^ { 2 }$$
$a^{4}\left(y^{4}+2a^{4}\right)$
$$a^{4}\left(a^{4}+y^{4}+a^{4}\right)$$
$$y^{4}+2a^{4}$$
$$a^{4}\left(y^{4}+2a^{4}\right)$$
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$\left(ay\right)^{4}+2a^{8}$