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-\left(x^{2}+8x+16\right)-17
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
-x^{2}-8x-16-17
To find the opposite of x^{2}+8x+16, find the opposite of each term.
-x^{2}-8x-33
Subtract 17 from -16 to get -33.
-\left(x^{2}+8x+16\right)-17
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
-x^{2}-8x-16-17
To find the opposite of x^{2}+8x+16, find the opposite of each term.
-x^{2}-8x-33
Subtract 17 from -16 to get -33.