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49-\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}.
49-x^{2}-16x-64
To find the opposite of x^{2}+16x+64, find the opposite of each term.
-15-x^{2}-16x
Subtract 64 from 49 to get -15.
49-\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}.
49-x^{2}-16x-64
To find the opposite of x^{2}+16x+64, find the opposite of each term.
-15-x^{2}-16x
Subtract 64 from 49 to get -15.