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x^{2}+2x+1-2\left(x+1\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
x^{2}+2x+1-2x-2+1
Use the distributive property to multiply -2 by x+1.
x^{2}+1-2+1
Combine 2x and -2x to get 0.
x^{2}-1+1
Subtract 2 from 1 to get -1.
x^{2}
Add -1 and 1 to get 0.
x^{2}+2x+1-2\left(x+1\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
x^{2}+2x+1-2x-2+1
Use the distributive property to multiply -2 by x+1.
x^{2}+1-2+1
Combine 2x and -2x to get 0.
x^{2}-1+1
Subtract 2 from 1 to get -1.
x^{2}
Add -1 and 1 to get 0.