Evaluate
-\frac{\left(x-3\right)^{2}}{2}+10
Expand
-\frac{x^{2}}{2}+3x+\frac{11}{2}
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-\frac{1}{2}\left(x^{2}-6x+9\right)+10
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}+10
Use the distributive property to multiply -\frac{1}{2} by x^{2}-6x+9.
-\frac{1}{2}x^{2}+3x+\frac{11}{2}
Add -\frac{9}{2} and 10 to get \frac{11}{2}.
-\frac{1}{2}\left(x^{2}-6x+9\right)+10
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}+10
Use the distributive property to multiply -\frac{1}{2} by x^{2}-6x+9.
-\frac{1}{2}x^{2}+3x+\frac{11}{2}
Add -\frac{9}{2} and 10 to get \frac{11}{2}.
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