\left. \begin{array} { l } { [ ( - 3 x ^ { - 2 } ) ( - 2 x ^ { 3 } ) ] ^ { 2 } - 30 ( x ^ { 2 } ) ^ { 3 } } \\ { [ - x ^ { 3 } y ^ { 5 } - ( - \frac { 5 } { x } x ^ { 2 } ) ^ { 2 } ] - 32 } \end{array} \right.
Least Common Multiple
6x^{2}\left(5x^{4}-6\right)\left(x^{3}y^{5}+25x^{2}+32\right)
Evaluate
36x^{2}-30x^{6},\ -x^{3}y^{5}-25x^{2}-32
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36x^{2}-30x^{6}=6x^{2}\left(-5x^{4}+6\right)
Factor the expressions that are not already factored.
6x^{2}\left(5x^{4}-6\right)\left(x^{3}y^{5}+25x^{2}+32\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.
750x^{8}+960x^{6}-36x^{5}y^{5}-900x^{4}-1152x^{2}+30y^{5}x^{9}
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}