# Factor the following expressions completely and simplify: x^2(x+1)^4+x^3(x+1)^2

Factor the following expressions completely and simplify:
${x}^{2}\left(x+1{\right)}^{4}+{x}^{3}\left(x+1{\right)}^{2}$
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Karissa Macdonald
${x}^{2}\left(x+1{\right)}^{4}+{x}^{3}\left(x+1{\right)}^{2}$
$={x}^{2}\left(x+1{\right)}^{2}\left[\left(x+1{\right)}^{2}+x\right]$
$={x}^{2}\left(x+1{\right)}^{2}\left({x}^{2}+3x+1\right)$

Jeffrey Jordon

Answer is given below (on video)