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\left(1+2x+x^{2}\right)x
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1+x\right)^{2}.
x+2x^{2}+x^{3}
Use the distributive property to multiply 1+2x+x^{2} by x.
\left(1+2x+x^{2}\right)x
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1+x\right)^{2}.
x+2x^{2}+x^{3}
Use the distributive property to multiply 1+2x+x^{2} by x.