Factor
8x\left(c-d\right)\left(2x-y\right)
Evaluate
8x\left(c-d\right)\left(2x-y\right)
Share
Copied to clipboard
8\left(2x^{2}c+xyd-2x^{2}d-xyc\right)
Factor out 8.
x\left(2xc+yd-2xd-yc\right)
Consider 2x^{2}c+xyd-2x^{2}d-xyc. Factor out x.
2x\left(c-d\right)-y\left(c-d\right)
Consider 2xc+yd-2xd-yc. Do the grouping 2xc+yd-2xd-yc=\left(2xc-2xd\right)+\left(-yc+yd\right), and factor out 2x in the first and -y in the second group.
\left(c-d\right)\left(2x-y\right)
Factor out common term c-d by using distributive property.
8x\left(2x-y\right)\left(c-d\right)
Rewrite the complete factored expression.
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}