Evaluate
-4m-4n-8
Factor
4\left(-m-n-2\right)
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m+3n-6-8n+8-5m+n-10
Combine -2m and 3m to get m.
m-5n-6+8-5m+n-10
Combine 3n and -8n to get -5n.
m-5n+2-5m+n-10
Add -6 and 8 to get 2.
-4m-5n+2+n-10
Combine m and -5m to get -4m.
-4m-4n+2-10
Combine -5n and n to get -4n.
-4m-4n-8
Subtract 10 from 2 to get -8.
-4m-4n-8
Multiply and combine like terms.
4\left(-m-n-2\right)
Factor out 4.
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}