\left. \begin{array} { l } { 144 p ( y - 5 x ^ { 2 } ) - 12 q ( 10 x ^ { 2 } - 2 y ) } \\ { 2 ( 5 x + 10 y ) ( 2 y - x ) ^ { 2 } - 4 ( 6 y + 3 x ) ( x - 2 y ) } \end{array} \right.
Least Common Multiple
24\left(q+6p\right)\left(6+10y-5x\right)\left(5x^{2}-y\right)\left(4y^{2}-x^{2}\right)
Evaluate
24\left(q+6p\right)\left(y-5x^{2}\right),\ 2\left(6+10y-5x\right)\left(4y^{2}-x^{2}\right)
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24\left(2y-x\right)\left(q+6p\right)\left(x+2y\right)\left(6+10y-5x\right)\left(5x^{2}-y\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.
600qx^{5}+3600px^{5}-4320px^{4}-720qx^{4}+4800qx^{2}y^{3}+28800px^{2}y^{3}+3120qx^{2}y^{2}+18720px^{2}y^{2}+480qxy^{3}+2880pxy^{3}-5760py^{4}-960qy^{4}-3456py^{3}-576qy^{3}-14400py^{2}x^{3}-2400qy^{2}x^{3}-7200pyx^{4}-1200qyx^{4}-720pyx^{3}-120qyx^{3}+144qyx^{2}+864pyx^{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}