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12a^{3}+13a^{2}-\frac{59a}{2}-8
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12a^{3}+13a^{2}-\frac{59a}{2}-8
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12a^{3}+11a^{2}-30a-8+\frac{3a}{6}\left(4a+1\right)
Use the distributive property to multiply 3a-4 by 4a^{2}+9a+2 and combine like terms.
12a^{3}+11a^{2}-30a-8+\frac{1}{2}a\left(4a+1\right)
Divide 3a by 6 to get \frac{1}{2}a.
12a^{3}+11a^{2}-30a-8+2a^{2}+\frac{1}{2}a
Use the distributive property to multiply \frac{1}{2}a by 4a+1.
12a^{3}+13a^{2}-30a-8+\frac{1}{2}a
Combine 11a^{2} and 2a^{2} to get 13a^{2}.
12a^{3}+13a^{2}-\frac{59}{2}a-8
Combine -30a and \frac{1}{2}a to get -\frac{59}{2}a.
12a^{3}+11a^{2}-30a-8+\frac{3a}{6}\left(4a+1\right)
Use the distributive property to multiply 3a-4 by 4a^{2}+9a+2 and combine like terms.
12a^{3}+11a^{2}-30a-8+\frac{1}{2}a\left(4a+1\right)
Divide 3a by 6 to get \frac{1}{2}a.
12a^{3}+11a^{2}-30a-8+2a^{2}+\frac{1}{2}a
Use the distributive property to multiply \frac{1}{2}a by 4a+1.
12a^{3}+13a^{2}-30a-8+\frac{1}{2}a
Combine 11a^{2} and 2a^{2} to get 13a^{2}.
12a^{3}+13a^{2}-\frac{59}{2}a-8
Combine -30a and \frac{1}{2}a to get -\frac{59}{2}a.
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