\left. \begin{array} { l } { 2 x ^ { 2 } - 9 x y + 3 x ^ { 2 } y + 5 } \\ { 12 x ^ { 2 } y + 2 x y - 9 x ^ { 2 } - 2 } \\ { 5 x ^ { 2 } - 2 y - 7 x y + 20 } \end{array} \right.
Least Common Multiple
90x^{6}+605x^{4}-36x^{2}y^{3}+1030x^{2}+56xy^{2}-630xy+252y^{3}x^{5}-642y^{3}x^{4}-180y^{2}x^{6}+489y^{2}x^{5}-41y^{2}x^{4}+2588y^{2}x^{3}+15yx^{6}-551yx^{5}-246yx^{4}-2183yx^{3}-1178yx^{2}-20y-330\left(xy\right)^{3}+664\left(xy\right)^{2}+200
Evaluate
2x^{2}-9xy+3yx^{2}+5,\ 12yx^{2}-9x^{2}+2xy-2,\ 5x^{2}-7xy-2y+20
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90x^{6}+605x^{4}-330x^{3}y^{3}-36x^{2}y^{3}+664x^{2}y^{2}+1030x^{2}+56xy^{2}-630xy+252y^{3}x^{5}-642y^{3}x^{4}-180y^{2}x^{6}+489y^{2}x^{5}-41y^{2}x^{4}+2588y^{2}x^{3}+15yx^{6}-551yx^{5}-246yx^{4}-2183yx^{3}-1178yx^{2}-20y+200
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
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}