\left. \begin{array} { l } { 15 m - 3 ( 2 m } \\ { - 2 ( 2 ( 1 - k ) } \\ { - 4 ( m + k ) ) } \end{array} \right.
Evaluate
12-36k-15m
Expand
12-36k-15m
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15m-3\left(2m-2\left(2-2k-4\left(m+k\right)\right)\right)
Use the distributive property to multiply 2 by 1-k.
15m-3\left(2m-2\left(2-2k-4m-4k\right)\right)
Use the distributive property to multiply -4 by m+k.
15m-3\left(2m-2\left(2-6k-4m\right)\right)
Combine -2k and -4k to get -6k.
15m-3\left(2m-4+12k+8m\right)
Use the distributive property to multiply -2 by 2-6k-4m.
15m-3\left(10m-4+12k\right)
Combine 2m and 8m to get 10m.
15m-30m+12-36k
Use the distributive property to multiply -3 by 10m-4+12k.
-15m+12-36k
Combine 15m and -30m to get -15m.
15m-3\left(2m-2\left(2-2k-4\left(m+k\right)\right)\right)
Use the distributive property to multiply 2 by 1-k.
15m-3\left(2m-2\left(2-2k-4m-4k\right)\right)
Use the distributive property to multiply -4 by m+k.
15m-3\left(2m-2\left(2-6k-4m\right)\right)
Combine -2k and -4k to get -6k.
15m-3\left(2m-4+12k+8m\right)
Use the distributive property to multiply -2 by 2-6k-4m.
15m-3\left(10m-4+12k\right)
Combine 2m and 8m to get 10m.
15m-30m+12-36k
Use the distributive property to multiply -3 by 10m-4+12k.
-15m+12-36k
Combine 15m and -30m to get -15m.
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}