Detected this equation:
\left \begin{array} { l } { \frac { 1 } { 12 } ( 3 x - y ) ^ { 3 } [ ( x - 2 y ) ^ { 2 } ( x + 2 y ) ^ { 2 } - ( x ^ { 2 } - 3 y ^ { 2 } ) ^ { 2 } - y ^ { 2 } ( 7 y ^ { 2 } - 2 x ^ { 2 } ) + 24 ] - 18 x y ( \frac { 2 } { 3 } + y ) } \\ { + ( 2 x ^ { 2 } + 2 y ) ( 10 x - y ^ { 2 } ) + 32 x y } \end{array} \right
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}