Evaluate
\frac{\left(x-3\right)^{2}}{2}
Expand
\frac{x^{2}}{2}-3x+\frac{9}{2}
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\frac{1}{2}\left(x^{2}-6x+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
\frac{1}{2}x^{2}-3x+\frac{9}{2}
Use the distributive property to multiply \frac{1}{2} by x^{2}-6x+9.
\frac{1}{2}\left(x^{2}-6x+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
\frac{1}{2}x^{2}-3x+\frac{9}{2}
Use the distributive property to multiply \frac{1}{2} by x^{2}-6x+9.
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