Evaluate
\left(3x-4\right)\left(21x^{2}+24x+16\right)
Expand
63x^{3}-12x^{2}-48x-64
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64x^{3}-\left(x^{3}+12x^{2}+48x+64\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+4\right)^{3}.
64x^{3}-x^{3}-12x^{2}-48x-64
To find the opposite of x^{3}+12x^{2}+48x+64, find the opposite of each term.
63x^{3}-12x^{2}-48x-64
Combine 64x^{3} and -x^{3} to get 63x^{3}.
64x^{3}-\left(x^{3}+12x^{2}+48x+64\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+4\right)^{3}.
64x^{3}-x^{3}-12x^{2}-48x-64
To find the opposite of x^{3}+12x^{2}+48x+64, find the opposite of each term.
63x^{3}-12x^{2}-48x-64
Combine 64x^{3} and -x^{3} to get 63x^{3}.
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