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100\left(1+2x+x^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1+x\right)^{2}.
100+200x+100x^{2}
Use the distributive property to multiply 100 by 1+2x+x^{2}.
100\left(1+2x+x^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1+x\right)^{2}.
100+200x+100x^{2}
Use the distributive property to multiply 100 by 1+2x+x^{2}.