Evaluate
24\left(x+1\right)^{3}
Expand
24x^{3}+72x^{2}+72x+24
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3\left(8+24x+24x^{2}+8x^{3}\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2+2x\right)^{3}.
24+72x+72x^{2}+24x^{3}
Use the distributive property to multiply 3 by 8+24x+24x^{2}+8x^{3}.
3\left(8+24x+24x^{2}+8x^{3}\right)
Use binomial theorem \left(a+b\right)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3} to expand \left(2+2x\right)^{3}.
24+72x+72x^{2}+24x^{3}
Use the distributive property to multiply 3 by 8+24x+24x^{2}+8x^{3}.
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