\left. \begin{array} { l } { ( x ^ { 2 } + 17 x + 60 ) \text { by } ( x + 5 ) } \\ { ( 3 m ^ { 2 } - 27 n ^ { 2 } ) b y ( m + 3 n ) } \end{array} \right.
Least Common Multiple
-3by\left(m-3n\right)\left(x+12\right)\left(\left(x+5\right)\left(m+3n\right)\right)^{2}
Evaluate
by\left(x+12\right)\left(x+5\right)^{2},\ 3by\left(m-3n\right)\left(m+3n\right)^{2}
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-3by\left(m-3n\right)\left(x+12\right)\left(x+5\right)^{2}\left(m+3n\right)^{2}
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
3915bmxyn^{2}-1305bnxym^{2}+11745bxyn^{3}-435bxym^{3}+27bmyn^{2}x^{3}-9bnym^{2}x^{3}+81byn^{3}x^{3}-3bym^{3}x^{3}+594bmyn^{2}x^{2}-198bnym^{2}x^{2}+1782byx^{2}n^{3}-66byx^{2}m^{3}+8100bmyn^{2}-2700bnym^{2}+24300byn^{3}-900bym^{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}