Evaluate
x\left(x-11\right)
Expand
x^{2}-11x
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x^{2}-11x+\frac{121}{4}-\frac{121}{4}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{11}{2}\right)^{2}.
x^{2}-11x
Subtract \frac{121}{4} from \frac{121}{4} to get 0.
x^{2}-11x+\frac{121}{4}-\frac{121}{4}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{11}{2}\right)^{2}.
x^{2}-11x
Subtract \frac{121}{4} from \frac{121}{4} to get 0.
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