224 a 2 + 856 a c - 84 , y - 21 y c
Least Common Multiple
4y\left(21c-1\right)\left(214ac+56a_{2}-21\right)
Evaluate
856ac+224a_{2}-84,y-21cy
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224a_{2}+856ac-84=4\left(214ac+56a_{2}-21\right) y-21yc=y\left(-21c+1\right)
Factor the expressions that are not already factored.
4y\left(21c-1\right)\left(214ac+56a_{2}-21\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.
17976ayc^{2}+4704a_{2}cy-856acy-1764cy-224a_{2}y+84y
Expand the expression.
Examples
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{ 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
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