\frac { 1 } { 2 } x ^ { 2 } - \frac { 1 } { 3 } x ^ { 4 } - \frac { 1 } { 4 } y ^ { 2 } | ( \frac { 2 } { 3 } x - \frac { 3 } { 2 } y )
Factor
\frac{-4x^{4}-3|\frac{2x}{3}-\frac{3y}{2}|y^{2}+6x^{2}}{12}
Evaluate
-\frac{|\frac{2x}{3}-\frac{3y}{2}|y^{2}}{4}-\frac{x^{4}}{3}+\frac{x^{2}}{2}
Share
Copied to clipboard
\frac{6x^{2}-4x^{4}-3y^{2}|\frac{2x}{3}-\frac{3y}{2}|}{12}
Factor out \frac{1}{12}.
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}