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-\left(x^{2}+4x+4\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
-x^{2}-4x-4+1
To find the opposite of x^{2}+4x+4, find the opposite of each term.
-x^{2}-4x-3
Add -4 and 1 to get -3.
-\left(x^{2}+4x+4\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
-x^{2}-4x-4+1
To find the opposite of x^{2}+4x+4, find the opposite of each term.
-x^{2}-4x-3
Add -4 and 1 to get -3.