Expand
3x^{3}-45x^{2}+225x-380
Evaluate
3\left(x-5\right)^{3}-5
Graph
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3\left(x^{3}-15x^{2}+75x-125\right)-5
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-5\right)^{3}.
3x^{3}-45x^{2}+225x-375-5
Use the distributive property to multiply 3 by x^{3}-15x^{2}+75x-125.
3x^{3}-45x^{2}+225x-380
Subtract 5 from -375 to get -380.
3\left(x^{3}-15x^{2}+75x-125\right)-5
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(x-5\right)^{3}.
3x^{3}-45x^{2}+225x-375-5
Use the distributive property to multiply 3 by x^{3}-15x^{2}+75x-125.
3x^{3}-45x^{2}+225x-380
Subtract 5 from -375 to get -380.
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