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\frac{-a^{2}-3}{2}+\frac{2a^{2}}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply a^{2} times \frac{2}{2}.
\frac{-a^{2}-3+2a^{2}}{2}
Since \frac{-a^{2}-3}{2} and \frac{2a^{2}}{2} have the same denominator, add them by adding their numerators.
\frac{a^{2}-3}{2}
Combine like terms in -a^{2}-3+2a^{2}.
\frac{-a^{2}-3}{2}+\frac{2a^{2}}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply a^{2} times \frac{2}{2}.
\frac{-a^{2}-3+2a^{2}}{2}
Since \frac{-a^{2}-3}{2} and \frac{2a^{2}}{2} have the same denominator, add them by adding their numerators.
\frac{a^{2}-3}{2}
Combine like terms in -a^{2}-3+2a^{2}.