Answer
$(x+1)^{2}$; $(x+1)^{2}(4-x)$
Work Step by Step
The GCF is $(x+1)^{2}$ because it is the largest common factor found in both $4(x+1)^{2}$ and $x(x+1)^{2}$. When $(x+1)^{2}$ is factored out, $4 - x$ is left, so the factored form is equal to $(x+1)^{2}(4-x)$.
