Expand
125x^{4}-700x^{3}+390x^{2}-76x+5
Evaluate
\left(x-5\right)\left(5x-1\right)^{3}
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\left(x-5\right)\left(125x^{3}-75x^{2}+15x-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(5x-1\right)^{3}.
125x^{4}-700x^{3}+390x^{2}-76x+5
Use the distributive property to multiply x-5 by 125x^{3}-75x^{2}+15x-1 and combine like terms.
\left(x-5\right)\left(125x^{3}-75x^{2}+15x-1\right)
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(5x-1\right)^{3}.
125x^{4}-700x^{3}+390x^{2}-76x+5
Use the distributive property to multiply x-5 by 125x^{3}-75x^{2}+15x-1 and combine like terms.
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