\left. \begin{array} { l } { ( x ^ { 2 } + 4 x ) ^ { 2 } - 5 ( x ^ { 2 } + 4 x ) - y } \\ { ( x ^ { 2 } + 4 x ) + 5 y } \end{array} \right.
Least Common Multiple
\left(x^{2}+4x+5y\right)\left(y+20x-11x^{2}-8x^{3}-x^{4}\right)
Evaluate
\left(x\left(x+4\right)\right)^{2}-5x\left(x+4\right)-y,\ x^{2}+4x+5y
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\left(x^{2}+4x+5y\right)\left(y+20x-11x^{2}-8x^{3}-x^{4}\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.
-x^{6}-12x^{5}-43x^{4}-24x^{3}+80x^{2}+104xy+5y^{2}-5yx^{4}-40yx^{3}-54yx^{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}