Evaluate
\left(x-2\right)\left(x^{2}-2\right)
Expand
x^{3}-2x^{2}-2x+4
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\left(2x^{2}-4\right)\left(\frac{1}{2}x-1\right)
Combine 2x and -\frac{3}{2}x to get \frac{1}{2}x.
x^{3}-2x^{2}-2x+4
Use the distributive property to multiply 2x^{2}-4 by \frac{1}{2}x-1.
\left(2x^{2}-4\right)\left(\frac{1}{2}x-1\right)
Combine 2x and -\frac{3}{2}x to get \frac{1}{2}x.
x^{3}-2x^{2}-2x+4
Use the distributive property to multiply 2x^{2}-4 by \frac{1}{2}x-1.
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