Evaluate
\left(x-3\right)\left(x^{2}-4\right)
Expand
x^{3}-3x^{2}-4x+12
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2x^{3}-x^{2}-8x+4+\left(4-x^{2}\right)\left(x+2\right)
Use the distributive property to multiply x^{2}-4 by 2x-1.
2x^{3}-x^{2}-8x+4+4x+8-x^{3}-2x^{2}
Use the distributive property to multiply 4-x^{2} by x+2.
2x^{3}-x^{2}-4x+4+8-x^{3}-2x^{2}
Combine -8x and 4x to get -4x.
2x^{3}-x^{2}-4x+12-x^{3}-2x^{2}
Add 4 and 8 to get 12.
x^{3}-x^{2}-4x+12-2x^{2}
Combine 2x^{3} and -x^{3} to get x^{3}.
x^{3}-3x^{2}-4x+12
Combine -x^{2} and -2x^{2} to get -3x^{2}.
2x^{3}-x^{2}-8x+4+\left(4-x^{2}\right)\left(x+2\right)
Use the distributive property to multiply x^{2}-4 by 2x-1.
2x^{3}-x^{2}-8x+4+4x+8-x^{3}-2x^{2}
Use the distributive property to multiply 4-x^{2} by x+2.
2x^{3}-x^{2}-4x+4+8-x^{3}-2x^{2}
Combine -8x and 4x to get -4x.
2x^{3}-x^{2}-4x+12-x^{3}-2x^{2}
Add 4 and 8 to get 12.
x^{3}-x^{2}-4x+12-2x^{2}
Combine 2x^{3} and -x^{3} to get x^{3}.
x^{3}-3x^{2}-4x+12
Combine -x^{2} and -2x^{2} to get -3x^{2}.
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Limits
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