Evaluate
5\left(a+c-d\right)
Factor
5\left(a+c-d\right)
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8a-5b+5c-d+c-4d-3a+5b-c
Combine -3b and -2b to get -5b.
8a-5b+6c-d-4d-3a+5b-c
Combine 5c and c to get 6c.
8a-5b+6c-5d-3a+5b-c
Combine -d and -4d to get -5d.
5a-5b+6c-5d+5b-c
Combine 8a and -3a to get 5a.
5a+6c-5d-c
Combine -5b and 5b to get 0.
5a+5c-5d
Combine 6c and -c to get 5c.
5a+5c-5d
Multiply and combine like terms.
5\left(a+c-d\right)
Factor out 5.
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}