Expand
8x^{3}-36x^{2}+48x-27
Evaluate
\left(2x-3\right)^{3}-6x
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8x^{3}-36x^{2}+54x-27-6x
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2x-3\right)^{3}.
8x^{3}-36x^{2}+48x-27
Combine 54x and -6x to get 48x.
8x^{3}-36x^{2}+54x-27-6x
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2x-3\right)^{3}.
8x^{3}-36x^{2}+48x-27
Combine 54x and -6x to get 48x.
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