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2-\left(x^{2}+2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
2-x^{2}-2x-1
To find the opposite of x^{2}+2x+1, find the opposite of each term.
1-x^{2}-2x
Subtract 1 from 2 to get 1.
2-\left(x^{2}+2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
2-x^{2}-2x-1
To find the opposite of x^{2}+2x+1, find the opposite of each term.
1-x^{2}-2x
Subtract 1 from 2 to get 1.