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x^{2}-22x+121+10\left(x-11\right)-200
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-11\right)^{2}.
x^{2}-22x+121+10x-110-200
Use the distributive property to multiply 10 by x-11.
x^{2}-12x+121-110-200
Combine -22x and 10x to get -12x.
x^{2}-12x+11-200
Subtract 110 from 121 to get 11.
x^{2}-12x-189
Subtract 200 from 11 to get -189.
x^{2}-22x+121+10\left(x-11\right)-200
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-11\right)^{2}.
x^{2}-22x+121+10x-110-200
Use the distributive property to multiply 10 by x-11.
x^{2}-12x+121-110-200
Combine -22x and 10x to get -12x.
x^{2}-12x+11-200
Subtract 110 from 121 to get 11.
x^{2}-12x-189
Subtract 200 from 11 to get -189.