Answer
$(y-5)(y+3)(x+1)$
Work Step by Step
$y^2(x+1)-2y(x+1)-15(x+1)$
$=(y^2-2y-15)(x+1)$
$=(y^2+3y-5y-15)(x+1)$
$=[y(y+3)-5(y+3)](x+1)$
$=(y-5)(y+3)(x+1)$
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