\left. \begin{array} { l } { 5 a ^ { 4 } b ^ { 7 } - 15 a ^ { 3 } b ^ { 4 } - 25 a ^ { 2 } b ^ { 5 } } \\ { 2 x y + 8 x y ^ { 2 } - 2 a - 8 a y } \end{array} \right.
Least Common Multiple
10a^{2}\left(a-xy\right)b^{4}\left(5b+3a-a^{2}b^{3}+20by+12ay-4ya^{2}b^{3}\right)
Evaluate
5a^{2}b^{4}\left(a^{2}b^{3}-3a-5b\right),\ 2\left(4y+1\right)\left(xy-a\right)
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10a^{2}\left(a-xy\right)b^{4}\left(5b+3a-a^{2}b^{3}+20by+12ay-4ya^{2}b^{3}\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.
40xy^{2}a^{4}b^{7}-200xa^{2}y^{2}b^{5}-120xy^{2}a^{3}b^{4}+10xya^{4}b^{7}-50xya^{2}b^{5}-30xya^{3}b^{4}-40ya^{5}b^{7}+120ya^{4}b^{4}+200ya^{3}b^{5}-10a^{5}b^{7}+30a^{4}b^{4}+50a^{3}b^{5}
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}