Answer
$y^{4}(y+2)^{3}(y+1)^{2}$
Work Step by Step
$y^{4}(y+2)^{3}+y^{5}(y+2)^{4}=y^{4}(y+2)^{3}[(1)+y(y+2)]=y^{4}(y+2)^{3}(y^{2}+2y+1)=y^{4}(y+2)^{3}(y+1)^{2}$
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