y ^ { 4 } + 8 y ^ { 3 } + 15 y ^ { 2 } , y ^ { 2 } - 3 y - 4
Least Common Multiple
\left(y-4\right)\left(y+1\right)\left(y+3\right)\left(y+5\right)y^{2}
Evaluate
\left(y+3\right)\left(y+5\right)y^{2},\left(y-4\right)\left(y+1\right)
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\left(y-4\right)\left(y+1\right)\left(y+3\right)\left(y+5\right)y^{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.
y^{6}+5y^{5}-13y^{4}-77y^{3}-60y^{2}
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}