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\left(x+1\right)ex^{2}\times 2+2
Multiply x and x to get x^{2}.
\left(xe+e\right)x^{2}\times 2+2
Use the distributive property to multiply x+1 by e.
\left(ex^{3}+ex^{2}\right)\times 2+2
Use the distributive property to multiply xe+e by x^{2}.
2ex^{3}+2ex^{2}+2
Use the distributive property to multiply ex^{3}+ex^{2} by 2.
\left(x+1\right)ex^{2}\times 2+2
Multiply x and x to get x^{2}.
\left(xe+e\right)x^{2}\times 2+2
Use the distributive property to multiply x+1 by e.
\left(ex^{3}+ex^{2}\right)\times 2+2
Use the distributive property to multiply xe+e by x^{2}.
2ex^{3}+2ex^{2}+2
Use the distributive property to multiply ex^{3}+ex^{2} by 2.