\left. \begin{array} { l } { x ^ { 3 } + 3 x ^ { 2 } y + 3 x y ^ { 2 } + y ^ { 2 } } \\ { y ^ { 3 } - 3 x y ^ { 2 } + 3 x ^ { 2 } y - y ^ { 2 } } \end{array} \right.
Least Common Multiple
y\left(3x^{5}-6x^{2}y^{3}+3xy^{4}-6xy^{3}+y^{4}-y^{3}+y^{2}x^{3}+6yx^{4}-yx^{3}\right)
Evaluate
x^{3}+3xy^{2}+y^{2}+3yx^{2},\ y\left(3x^{2}-3xy+y^{2}-y\right)
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y\left(3x^{5}-6x^{2}y^{3}+3xy^{4}-6xy^{3}+y^{4}-y^{3}+y^{2}x^{3}+6yx^{4}-yx^{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.
x^{3}y^{3}-6x^{2}y^{4}+3xy^{5}-6xy^{4}+y^{5}-y^{4}+6y^{2}x^{4}-y^{2}x^{3}+3yx^{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}