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x^{2}-10000+\left(11-x\right)^{2}
Calculate 100 to the power of 2 and get 10000.
x^{2}-10000+121-22x+x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(11-x\right)^{2}.
x^{2}-9879-22x+x^{2}
Add -10000 and 121 to get -9879.
2x^{2}-9879-22x
Combine x^{2} and x^{2} to get 2x^{2}.
x^{2}-10000+\left(11-x\right)^{2}
Calculate 100 to the power of 2 and get 10000.
x^{2}-10000+121-22x+x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(11-x\right)^{2}.
x^{2}-9879-22x+x^{2}
Add -10000 and 121 to get -9879.
2x^{2}-9879-22x
Combine x^{2} and x^{2} to get 2x^{2}.