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12a^{3}-36ab-6b\left(4a-5\right)
Use the distributive property to multiply 12a by a^{2}-3b.
12a^{3}-36ab-24ba+30b
Use the distributive property to multiply -6b by 4a-5.
12a^{3}-60ab+30b
Combine -36ab and -24ba to get -60ab.
12a^{3}-36ab-6b\left(4a-5\right)
Use the distributive property to multiply 12a by a^{2}-3b.
12a^{3}-36ab-24ba+30b
Use the distributive property to multiply -6b by 4a-5.
12a^{3}-60ab+30b
Combine -36ab and -24ba to get -60ab.