\left. \begin{array} { l } { a ( 3 x - 2 y ) + b ( 2 y - 3 x ) } \\ { ( x ^ { 2 } + 2 x ) ^ { 2 } - 3 ( x ^ { 2 } + 2 x ) - y ( x ^ { 2 } + 2 x ) + 3 y } \end{array} \right.
Least Common Multiple
\left(x-1\right)\left(a-b\right)\left(x+3\right)\left(3x-2y\right)\left(y-2x-x^{2}\right)
Evaluate
\left(a-b\right)\left(3x-2y\right),\ \left(x-1\right)\left(x+3\right)\left(x^{2}+2x-y\right)
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\left(x-1\right)\left(a-b\right)\left(x+3\right)\left(3x-2y\right)\left(y-2x-x^{2}\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.
3bx^{5}-3ax^{5}+12bx^{4}-12ax^{4}+3bx^{3}-3ax^{3}+2bx^{2}y^{2}-2ax^{2}y^{2}+18ax^{2}-18bx^{2}+4bxy^{2}-4axy^{2}+21bxy-21axy+6ay^{2}-6by^{2}+2ayx^{4}-2byx^{4}+11ayx^{3}-11byx^{3}+8ayx^{2}-8byx^{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}