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x^{2}-9x+17
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x^{2}-9x+17
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x^{2}-9x+\frac{81}{4}-\frac{13}{4}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{9}{2}\right)^{2}.
x^{2}-9x+17
Subtract \frac{13}{4} from \frac{81}{4} to get 17.
x^{2}-9x+\frac{81}{4}-\frac{13}{4}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{9}{2}\right)^{2}.
x^{2}-9x+17
Subtract \frac{13}{4} from \frac{81}{4} to get 17.
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