\left. \begin{array} { l } { ( x - a ) ( x ^ { 2 } + a x + a ^ { 2 } ) - a ^ { 2 } x - ( x + a ) ( x - a ) ( x - 1 ) + a ^ { 2 } ( a - 3 ) + ( 2 a - x ) ^ { 2 } } \\ { [ ( 2 a - b ) ^ { 2 } + 5 a ( a - 2 b ) ] - [ - ( - 8 a b + 9 b ^ { 2 } ) - 3 b ( a + b ) ] + 19 a b } \end{array} \right.
Least Common Multiple
-2x\left(x-2a\right)\left(9a^{2}+13b^{2}\right)
Evaluate
2x\left(x-2a\right),\ 9a^{2}+13b^{2}
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2x^{2}-4xa=2x\left(x-2a\right)
Factor the expressions that are not already factored.
-2x\left(x-2a\right)\left(9a^{2}+13b^{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.
-26b^{2}x^{2}-18a^{2}x^{2}+52axb^{2}+36xa^{3}
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}