Evaluate
x^{2}-3x+\frac{3}{2}
Expand
x^{2}-3x+\frac{3}{2}
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x^{2}-3x+\frac{9}{4}-\frac{3}{4}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{3}{2}\right)^{2}.
x^{2}-3x+\frac{3}{2}
Subtract \frac{3}{4} from \frac{9}{4} to get \frac{3}{2}.
x^{2}-3x+\frac{9}{4}-\frac{3}{4}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{3}{2}\right)^{2}.
x^{2}-3x+\frac{3}{2}
Subtract \frac{3}{4} from \frac{9}{4} to get \frac{3}{2}.
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