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x^{4}-4x^{3}+10x^{2}-12x+9-4x^{2}+8x-17
Square x^{2}-2x+3.
x^{4}-4x^{3}+6x^{2}-12x+9+8x-17
Combine 10x^{2} and -4x^{2} to get 6x^{2}.
x^{4}-4x^{3}+6x^{2}-4x+9-17
Combine -12x and 8x to get -4x.
x^{4}-4x^{3}+6x^{2}-4x-8
Subtract 17 from 9 to get -8.
x^{4}-4x^{3}+10x^{2}-12x+9-4x^{2}+8x-17
Square x^{2}-2x+3.
x^{4}-4x^{3}+6x^{2}-12x+9+8x-17
Combine 10x^{2} and -4x^{2} to get 6x^{2}.
x^{4}-4x^{3}+6x^{2}-4x+9-17
Combine -12x and 8x to get -4x.
x^{4}-4x^{3}+6x^{2}-4x-8
Subtract 17 from 9 to get -8.