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x^{2}+2x+1-x^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
2x+1
Combine x^{2} and -x^{2} to get 0.
x^{2}+2x+1-x^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
2x+1
Combine x^{2} and -x^{2} to get 0.