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x^{2}-4x+11
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x^{2}-4x+11
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x^{2}-8x+16+4x-4-1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
x^{2}-4x+16-4-1
Combine -8x and 4x to get -4x.
x^{2}-4x+12-1
Subtract 4 from 16 to get 12.
x^{2}-4x+11
Subtract 1 from 12 to get 11.
x^{2}-8x+16+4x-4-1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
x^{2}-4x+16-4-1
Combine -8x and 4x to get -4x.
x^{2}-4x+12-1
Subtract 4 from 16 to get 12.
x^{2}-4x+11
Subtract 1 from 12 to get 11.
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