\left. \begin{array} { l } { x ^ { 2 } + 3 x - 2 } \\ { 2 x ^ { 2 } - 4 } \end{array} \right.
Least Common Multiple
2\left(x^{2}-2\right)\left(x^{2}+3x-2\right)
Evaluate
x^{2}+3x-2,\ 2\left(x^{2}-2\right)
Graph
Share
Copied to clipboard
x^{2}+3x-2=\left(x-\left(-\frac{1}{2}\sqrt{17}-\frac{3}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{17}-\frac{3}{2}\right)\right) 2x^{2}-4=2\left(x^{2}-2\right)
Factor the expressions that are not already factored.
2\left(x^{2}-2\right)\left(x^{2}+3x-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.
2x^{4}+6x^{3}-8x^{2}-12x+8
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}