Evaluate
5\left(2x-3\right)\left(3\left(2x-3\right)^{2}-2\right)
Expand
120x^{3}-540x^{2}+790x-375
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15\left(8x^{3}-36x^{2}+54x-27\right)-10\left(2x-3\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2x-3\right)^{3}.
120x^{3}-540x^{2}+810x-405-10\left(2x-3\right)
Use the distributive property to multiply 15 by 8x^{3}-36x^{2}+54x-27.
120x^{3}-540x^{2}+810x-405-20x+30
Use the distributive property to multiply -10 by 2x-3.
120x^{3}-540x^{2}+790x-405+30
Combine 810x and -20x to get 790x.
120x^{3}-540x^{2}+790x-375
Add -405 and 30 to get -375.
15\left(8x^{3}-36x^{2}+54x-27\right)-10\left(2x-3\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(2x-3\right)^{3}.
120x^{3}-540x^{2}+810x-405-10\left(2x-3\right)
Use the distributive property to multiply 15 by 8x^{3}-36x^{2}+54x-27.
120x^{3}-540x^{2}+810x-405-20x+30
Use the distributive property to multiply -10 by 2x-3.
120x^{3}-540x^{2}+790x-405+30
Combine 810x and -20x to get 790x.
120x^{3}-540x^{2}+790x-375
Add -405 and 30 to get -375.
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Limits
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