Evaluate
4\left(x+1\right)^{3}
Expand
4x^{3}+12x^{2}+12x+4
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4\left(1+3x+3x^{2}+x^{3}\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(1+x\right)^{3}.
4+12x+12x^{2}+4x^{3}
Use the distributive property to multiply 4 by 1+3x+3x^{2}+x^{3}.
4\left(1+3x+3x^{2}+x^{3}\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(1+x\right)^{3}.
4+12x+12x^{2}+4x^{3}
Use the distributive property to multiply 4 by 1+3x+3x^{2}+x^{3}.
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