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-\left(x+8\right)^{2}
Multiply x+8 and x+8 to get \left(x+8\right)^{2}.
-\left(x^{2}+16x+64\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+8\right)^{2}.
-x^{2}-16x-64
To find the opposite of x^{2}+16x+64, find the opposite of each term.
-\left(x+8\right)^{2}
Multiply x+8 and x+8 to get \left(x+8\right)^{2}.
-\left(x^{2}+16x+64\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+8\right)^{2}.
-x^{2}-16x-64
To find the opposite of x^{2}+16x+64, find the opposite of each term.