Evaluate
\left(2-x\right)\left(2x^{2}-1\right)
Expand
-2x^{3}+4x^{2}+x-2
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x^{3}-2x^{2}+x-2-3x^{3}+6x^{2}
Use the distributive property to multiply 1-3x^{2} by x-2.
-2x^{3}-2x^{2}+x-2+6x^{2}
Combine x^{3} and -3x^{3} to get -2x^{3}.
-2x^{3}+4x^{2}+x-2
Combine -2x^{2} and 6x^{2} to get 4x^{2}.
x^{3}-2x^{2}+x-2-3x^{3}+6x^{2}
Use the distributive property to multiply 1-3x^{2} by x-2.
-2x^{3}-2x^{2}+x-2+6x^{2}
Combine x^{3} and -3x^{3} to get -2x^{3}.
-2x^{3}+4x^{2}+x-2
Combine -2x^{2} and 6x^{2} to get 4x^{2}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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