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-\left(x^{2}+2x+1\right)-21
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
-x^{2}-2x-1-21
To find the opposite of x^{2}+2x+1, find the opposite of each term.
-x^{2}-2x-22
Subtract 21 from -1 to get -22.
-\left(x^{2}+2x+1\right)-21
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
-x^{2}-2x-1-21
To find the opposite of x^{2}+2x+1, find the opposite of each term.
-x^{2}-2x-22
Subtract 21 from -1 to get -22.