Evaluate
\left(5x-2\right)\left(25x^{2}-50x+28\right)
Expand
125x^{3}-300x^{2}+240x-56
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125x^{3}-300x^{2}+240x-64+8
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(5x-4\right)^{3}.
125x^{3}-300x^{2}+240x-56
Add -64 and 8 to get -56.
125x^{3}-300x^{2}+240x-64+8
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(5x-4\right)^{3}.
125x^{3}-300x^{2}+240x-56
Add -64 and 8 to get -56.
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