\left. \begin{array} { r } { 2 m ( m - n ) ^ { 2 } - 8 m ^ { 2 } } \\ { ( n - m ) } \end{array} \right.
Least Common Multiple
2m\left(m-n\right)\left(-\left(m-n\right)^{2}+4m\right)
Evaluate
2m\left(\left(m-n\right)^{2}-4m\right),\ -\left(m-n\right)
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2m\left(\left(m-n\right)^{2}-4m\right)=2m\left(m^{2}-2mn-4m+n^{2}\right)
Factor the expressions that are not already factored.
2m\left(m-n\right)\left(4m-n^{2}+2mn-m^{2}\right)
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
-2m^{4}+8m^{3}-6m^{2}n^{2}+2mn^{3}+6nm^{3}-8nm^{2}
Expand the 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}