Factor
\left(a-2\right)\left(a^{3}-4\right)
Evaluate
\left(a-2\right)\left(a^{3}-4\right)
Share
Copied to clipboard
a^{3}\left(a-2\right)-4\left(a-2\right)
Do the grouping a^{4}-2a^{3}-4a+8=\left(a^{4}-2a^{3}\right)+\left(-4a+8\right), and factor out a^{3} in the first and -4 in the second group.
\left(a-2\right)\left(a^{3}-4\right)
Factor out common term a-2 by using distributive property. Polynomial a^{3}-4 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}