\left. \begin{array} { c } { x ^ { 3 } + x ^ { 4 } + x ^ { 5 } } \\ { 3 x ^ { 2 } + 4 x ^ { 3 } + 5 x ^ { 4 } } \\ { 6 x + 12 x ^ { 2 } + 20 } \\ { 6 + 24 x + 60 x } \\ { 24 + 120 x } \\ { 120 } \end{array} \right.
Least Common Multiple
120\left(5x+1\right)\left(14x+1\right)\left(5x^{2}+4x+3\right)\left(6x^{2}+3x+10\right)\left(x^{2}+x+1\right)x^{3}
Evaluate
x^{5}+x^{4}+x^{3},\ 5x^{4}+4x^{3}+3x^{2},\ 12x^{2}+6x+20,\ 84x+6,\ 120x+24,\ 120
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x^{3}+x^{4}+x^{5}=\left(x^{2}+x+1\right)x^{3} 3x^{2}+4x^{3}+5x^{4}=x^{2}\left(5x^{2}+4x+3\right) 6x+12x^{2}+20=2\left(6x^{2}+3x+10\right) 6+84x=6\left(14x+1\right) 24+120x=24\left(5x+1\right) 120=2^{3}\times 3\times 5
Factor the expressions that are not already factored.
120\left(5x+1\right)\left(14x+1\right)\left(5x^{2}+4x+3\right)\left(6x^{2}+3x+10\right)\left(x^{2}+x+1\right)x^{3}
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
252000x^{11}+648000x^{10}+1412520x^{9}+1759200x^{8}+1736520x^{7}+1046280x^{6}+451200x^{5}+77880x^{4}+3600x^{3}
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}