\left. \begin{array} { l } { y ^ { 4 } + 4 y ^ { 3 } - 2 y ^ { 2 } + 10 y - 25 \text { by } y } \\ { 6 x ^ { 5 } + 4 x ^ { 4 } - 3 x ^ { 3 } - 1 \text { by } 1 - x + 31 } \end{array} \right.
Least Common Multiple
y\left(y^{3}+4y^{2}-25by-2y+10\right)\left(-6x^{5}-4x^{4}+3x^{3}+x+by-31\right)
Evaluate
y\left(y^{3}+4y^{2}-25by-2y+10\right),\ 6x^{5}+4x^{4}-3x^{3}-x-by+31
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y\left(y^{3}+4y^{2}-25by-2y+10\right)\left(-6x^{5}-4x^{4}+3x^{3}+x+by-31\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.
-4x^{4}y^{4}+3x^{3}y^{4}+12x^{3}y^{3}+xy^{4}+4xy^{3}-25bxy^{2}-2xy^{2}+10xy+by^{5}-6y^{4}x^{5}+4by^{4}-31y^{4}-24y^{3}x^{5}-16y^{3}x^{4}-25b^{2}y^{3}-2by^{3}-124y^{3}+150by^{2}x^{5}+12y^{2}x^{5}+100by^{2}x^{4}+8y^{2}x^{4}-75by^{2}x^{3}-6y^{2}x^{3}+785by^{2}+62y^{2}-60yx^{5}-40yx^{4}+30yx^{3}-310y
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}