\left. \begin{array} { l } { ( 2 x ^ { 3 } + 7 x ^ { 2 } - 4 x ) + ( 3 x ^ { 3 } - 2 x ^ { 2 } - 5 x ) } \\ { ( 9 x ^ { 4 } - x ^ { 2 } + 9 ) + ( - x ^ { 4 } + 4 x ^ { 2 } - 3 ) } \end{array} \right.
Least Common Multiple
\frac{x\left(\left(10x+5\right)^{2}-205\right)\left(8x^{4}+3x^{2}+6\right)}{20}
Evaluate
x\left(5x^{2}+5x-9\right),\ 8x^{4}+3x^{2}+6
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x\left(5x^{2}+5x-9\right)=5x\left(x-\left(-\frac{1}{10}\sqrt{205}-\frac{1}{2}\right)\right)\left(x-\left(\frac{1}{10}\sqrt{205}-\frac{1}{2}\right)\right)
Factor the expressions that are not already factored.
5x\left(x-\left(-\frac{\sqrt{205}}{10}-\frac{1}{2}\right)\right)\left(x-\left(\frac{\sqrt{205}}{10}-\frac{1}{2}\right)\right)\left(8x^{4}+3x^{2}+6\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.
40x^{7}+40x^{6}-57x^{5}+15x^{4}+3x^{3}+30x^{2}-54x
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}