Evaluate
-x^{2}-3x-3
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-x^{2}-3x-3
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-\left(x^{2}+3x+\frac{9}{4}\right)-\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{9}{4}-\frac{3}{4}
To find the opposite of x^{2}+3x+\frac{9}{4}, find the opposite of each term.
-x^{2}-3x-3
Subtract \frac{3}{4} from -\frac{9}{4} to get -3.
-\left(x^{2}+3x+\frac{9}{4}\right)-\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{9}{4}-\frac{3}{4}
To find the opposite of x^{2}+3x+\frac{9}{4}, find the opposite of each term.
-x^{2}-3x-3
Subtract \frac{3}{4} from -\frac{9}{4} to get -3.
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