Evaluate
\frac{\left(2-x\right)^{3}}{8}
Expand
-\frac{x^{3}}{8}+\frac{3x^{2}}{4}-\frac{3x}{2}+1
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1-\frac{3}{2}x+\frac{3}{4}x^{2}-\frac{1}{8}x^{3}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(1-\frac{1}{2}x\right)^{3}.
1-\frac{3}{2}x+\frac{3}{4}x^{2}-\frac{1}{8}x^{3}
Use binomial theorem \left(a-b\right)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3} to expand \left(1-\frac{1}{2}x\right)^{3}.
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