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x^{2}+8x+16-\left(x^{2}-8\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
x^{2}+8x+16-x^{2}+8
To find the opposite of x^{2}-8, find the opposite of each term.
8x+16+8
Combine x^{2} and -x^{2} to get 0.
8x+24
Add 16 and 8 to get 24.
x^{2}+8x+16-\left(x^{2}-8\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
x^{2}+8x+16-x^{2}+8
To find the opposite of x^{2}-8, find the opposite of each term.
8x+16+8
Combine x^{2} and -x^{2} to get 0.
8x+24
Add 16 and 8 to get 24.