\left. \begin{array} { l } { 3 x ^ { 2 } - 5 x ^ { 2 } + 3 x + 2 } \\ { 2 x ^ { 3 } + 4 x ^ { 2 } - 5 x - 1 } \\ { 5 x ^ { 3 } - 7 x ^ { 2 } - 2 x + 1 } \end{array} \right.
Least Common Multiple
\left(x-2\right)\left(x-1\right)\left(2x+1\right)\left(10x^{5}+16x^{4}-41x^{3}-17x^{2}+4x+1\right)
Evaluate
\left(2-x\right)\left(2x+1\right),\ \left(x-1\right)\left(2x^{2}+6x+1\right),\ 5x^{3}-7x^{2}-2x+1
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\left(-1+x\right)\left(1+6x+2x^{2}\right)=2\left(x-1\right)\left(x-\left(-\frac{1}{2}\sqrt{7}-\frac{3}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{7}-\frac{3}{2}\right)\right)
Factor the expressions that are not already factored.
2\left(x-2\right)\left(x-1\right)\left(2x+1\right)\left(x-\frac{-\sqrt{7}-3}{2}\right)\left(x-\frac{\sqrt{7}-3}{2}\right)\left(5x^{3}-7x^{2}-2x+1\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.
20x^{8}-18x^{7}-152x^{6}+207x^{5}+84x^{4}-117x^{3}-35x^{2}+9x+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}