Evaluate
\frac{-\left(2x+3\right)^{2}+13}{4}
Expand
1-3x-x^{2}
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-\left(x^{2}+3x+\frac{9}{4}\right)+\frac{13}{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{13}{4}
To find the opposite of x^{2}+3x+\frac{9}{4}, find the opposite of each term.
-x^{2}-3x+1
Add -\frac{9}{4} and \frac{13}{4} to get 1.
-\left(x^{2}+3x+\frac{9}{4}\right)+\frac{13}{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{13}{4}
To find the opposite of x^{2}+3x+\frac{9}{4}, find the opposite of each term.
-x^{2}-3x+1
Add -\frac{9}{4} and \frac{13}{4} to get 1.
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