\left. \begin{array} { l } { 4 x ^ { 2 } + 8 y - 5 z ^ { 2 } } \\ { 2 x ^ { 2 } + 6 y } \\ { 7 x ^ { 2 } - 8 y + 2 z ^ { 2 } } \\ { - 3 x ^ { 2 } + 3 y } \end{array} \right.
Least Common Multiple
6\left(x^{2}-y\right)\left(x^{2}+3y\right)\left(7x^{2}-8y+2z^{2}\right)\left(4x^{2}+8y-5z^{2}\right)
Evaluate
4x^{2}+8y-5z^{2},\ 2\left(x^{2}+3y\right),\ 7x^{2}-8y+2z^{2},\ 3\left(y-x^{2}\right)
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2x^{2}+6y=2\left(x^{2}+3y\right) -3x^{2}+3y=3\left(-x^{2}+y\right)
Factor the expressions that are not already factored.
6\left(x^{2}-y\right)\left(x^{2}+3y\right)\left(7x^{2}-8y+2z^{2}\right)\left(4x^{2}+8y-5z^{2}\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.
168x^{8}-60x^{4}z^{4}-1200x^{2}y^{3}+1158x^{2}y^{2}z^{2}+1152y^{4}-600y^{2}x^{4}+180y^{2}z^{4}+480yx^{6}-120yx^{2}z^{4}+12yz^{2}x^{4}-162z^{2}x^{6}-1008z^{2}y^{3}
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}