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x^{4}+2x^{3}+3x^{2}+2x+1-10x^{2}-10x+11
Square x^{2}+x+1.
x^{4}+2x^{3}-7x^{2}+2x+1-10x+11
Combine 3x^{2} and -10x^{2} to get -7x^{2}.
x^{4}+2x^{3}-7x^{2}-8x+1+11
Combine 2x and -10x to get -8x.
x^{4}+2x^{3}-7x^{2}-8x+12
Add 1 and 11 to get 12.
x^{4}+2x^{3}+3x^{2}+2x+1-10x^{2}-10x+11
Square x^{2}+x+1.
x^{4}+2x^{3}-7x^{2}+2x+1-10x+11
Combine 3x^{2} and -10x^{2} to get -7x^{2}.
x^{4}+2x^{3}-7x^{2}-8x+1+11
Combine 2x and -10x to get -8x.
x^{4}+2x^{3}-7x^{2}-8x+12
Add 1 and 11 to get 12.