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\frac{-2a^{2}-4a+12}{a^{2}-2a-3a+6}
Combine a^{2} and -3a^{2} to get -2a^{2}.
\frac{-2a^{2}-4a+12}{a^{2}-5a+6}
Combine -2a and -3a to get -5a.
\frac{-2a^{2}-4a+12}{a^{2}-2a-3a+6}
Combine a^{2} and -3a^{2} to get -2a^{2}.
\frac{-2a^{2}-4a+12}{a^{2}-5a+6}
Combine -2a and -3a to get -5a.