\left. \begin{array} { l } { ( 3 x - 2 ) ^ { 2 } \cdot 3 x - ( 3 x - 5 ) ^ { 3 } + ( 2 x + 3 ) ( 2 x - 3 ) - x ^ { 2 } ( 8 x - 159 ) } \\ { ( 2 x - 5 ) ^ { 3 } - [ 2 x ( 2 x - 5 ) ^ { 2 } + ( 2 + 6 x ) ( 2 - 6 x ) \cdot 5 ] - 100 x } \end{array} \right.
Least Common Multiple
5\left(32x^{2}-29\right)\left(8x^{3}-262x^{2}+213x-116\right)
Evaluate
116-213x+262x^{2}-8x^{3},\ 160x^{2}-145
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160x^{2}-145=5\left(32x^{2}-29\right)
Factor the expressions that are not already factored.
5\left(32x^{2}-29\right)\left(8x^{3}-262x^{2}+213x-116\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.
1280x^{5}-41920x^{4}+32920x^{3}+19430x^{2}-30885x+16820
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}