Evaluate
\left(1-x\right)\left(x^{2}-2\right)
Factor
\left(1-x\right)\left(x^{2}-2\right)
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\left(-x\right)x^{2}+xx+2x-2
Multiply x and x to get x^{2}.
\left(-x\right)x^{2}+x^{2}+2x-2
Multiply x and x to get x^{2}.
-x^{3}+x^{2}+2x-2
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
-x^{3}+x^{2}+2x-2
Multiply and combine like terms.
x^{2}\left(-x+1\right)-2\left(-x+1\right)
Do the grouping -x^{3}+x^{2}+2x-2=\left(-x^{3}+x^{2}\right)+\left(2x-2\right), and factor out x^{2} in the first and -2 in the second group.
\left(-x+1\right)\left(x^{2}-2\right)
Factor out common term -x+1 by using distributive property. Polynomial x^{2}-2 is not factored since it does not have any rational roots.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}