Factor
3\left(a-2b\right)\left(c-d\right)
Evaluate
3\left(a-2b\right)\left(c-d\right)
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3\left(ac-ad-2bc+2bd\right)
Factor out 3.
a\left(c-d\right)-2b\left(c-d\right)
Consider ac-ad-2bc+2bd. Do the grouping ac-ad-2bc+2bd=\left(ac-ad\right)+\left(-2bc+2bd\right), and factor out a in the first and -2b in the second group.
\left(c-d\right)\left(a-2b\right)
Factor out common term c-d by using distributive property.
3\left(c-d\right)\left(a-2b\right)
Rewrite the complete factored expression.
Examples
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y = 3x + 4
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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
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