\left. \begin{array} { l } { 2 x _ { 1 } + 2 x _ { 2 } + 2 x _ { 3 } } \\ { 2 x _ { 1 } - 3 x _ { 2 } - x _ { 3 } } \\ { - 2 x _ { 1 } + 4 x _ { 2 } + x _ { 3 } } \end{array} \right.
Least Common Multiple
2\left(2x_{1}-3x_{2}-x_{3}\right)\left(2x_{1}-4x_{2}-x_{3}\right)\left(x_{1}+x_{2}+x_{3}\right)
Evaluate
2\left(x_{1}+x_{2}+x_{3}\right),\ 2x_{1}-3x_{2}-x_{3},\ x_{3}+4x_{2}-2x_{1}
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2x_{1}+2x_{2}+2x_{3}=2\left(x_{1}+x_{2}+x_{3}\right)
Factor the expressions that are not already factored.
2\left(2x_{1}-3x_{2}-x_{3}\right)\left(2x_{1}-4x_{2}-x_{3}\right)\left(x_{1}+x_{2}+x_{3}\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.
8x_{1}^{3}-4x_{1}x_{2}^{2}-22x_{1}x_{2}x_{3}-6x_{1}x_{3}^{2}+24x_{2}^{3}-20x_{2}x_{1}^{2}+16x_{2}x_{3}^{2}+2x_{3}^{3}+38x_{3}x_{2}^{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}