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