Expand
2x^{3}+30x^{2}+150x+250
Evaluate
2\left(x+5\right)^{3}
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2\left(x^{3}+15x^{2}+75x+125\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+5\right)^{3}.
2x^{3}+30x^{2}+150x+250
Use the distributive property to multiply 2 by x^{3}+15x^{2}+75x+125.
2\left(x^{3}+15x^{2}+75x+125\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(x+5\right)^{3}.
2x^{3}+30x^{2}+150x+250
Use the distributive property to multiply 2 by x^{3}+15x^{2}+75x+125.
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