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-a^{2}-\frac{b}{3}
Multiply a and a to get a^{2}.
-\frac{3a^{2}}{3}-\frac{b}{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply -a^{2} times \frac{3}{3}.
\frac{-3a^{2}-b}{3}
Since -\frac{3a^{2}}{3} and \frac{b}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{-3aa-b}{3}
Factor out \frac{1}{3}.