Evaluate
3\left(4a-3\right)^{3}-4a-3
Expand
192a^{3}-432a^{2}+320a-84
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3\left(64a^{3}-144a^{2}+108a-27\right)-\left(4a+3\right)
Use binomial theorem \left(p-q\right)^{3}=p^{3}-3p^{2}q+3pq^{2}-q^{3} to expand \left(4a-3\right)^{3}.
192a^{3}-432a^{2}+324a-81-\left(4a+3\right)
Use the distributive property to multiply 3 by 64a^{3}-144a^{2}+108a-27.
192a^{3}-432a^{2}+324a-81-4a-3
To find the opposite of 4a+3, find the opposite of each term.
192a^{3}-432a^{2}+320a-81-3
Combine 324a and -4a to get 320a.
192a^{3}-432a^{2}+320a-84
Subtract 3 from -81 to get -84.
3\left(64a^{3}-144a^{2}+108a-27\right)-\left(4a+3\right)
Use binomial theorem \left(p-q\right)^{3}=p^{3}-3p^{2}q+3pq^{2}-q^{3} to expand \left(4a-3\right)^{3}.
192a^{3}-432a^{2}+324a-81-\left(4a+3\right)
Use the distributive property to multiply 3 by 64a^{3}-144a^{2}+108a-27.
192a^{3}-432a^{2}+324a-81-4a-3
To find the opposite of 4a+3, find the opposite of each term.
192a^{3}-432a^{2}+320a-81-3
Combine 324a and -4a to get 320a.
192a^{3}-432a^{2}+320a-84
Subtract 3 from -81 to get -84.
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