Answer
$y^{6}+8y^{3}+16$
Work Step by Step
Using the square of a binomial pattern $(a+b)^{2}=a^{2}+b^{2}+2ab$, we obtain
$(y^{3}+4)^{2}=(y^{3})^{2}+4^{2}+2(y^{3})(4)$
$=y^{6}+8y^{3}+16$
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