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e^{x}\left(2x+x^{2}+1\right)
Factor out e^{x}.
\left(x+1\right)^{2}
Consider 2x+x^{2}+1. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=x and b=1.
e^{x}\left(x+1\right)^{2}
Rewrite the complete factored expression.