\left. \begin{array} { l } { ( - 2 a ^ { 2 } + 10 + a ) - ( - 3 - a ^ { 2 } - 2 a ) } \\ { ( 8 p q - 4 p ^ { 3 } + 6 p ^ { 2 } ) + ( 5 p ^ { 3 } - 6 p ^ { 2 } + 8 p q ) } \end{array} \right.
Least Common Multiple
p\left(a^{2}-3a-13\right)\left(p^{2}+16q\right)
Evaluate
13+3a-a^{2},\ p\left(p^{2}+16q\right)
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-a^{2}+13+3a=-\left(a-\left(-\frac{1}{2}\sqrt{61}+\frac{3}{2}\right)\right)\left(a-\left(\frac{1}{2}\sqrt{61}+\frac{3}{2}\right)\right) 16pq+p^{3}=p\left(p^{2}+16q\right)
Factor the expressions that are not already factored.
p\left(a^{2}-3a-13\right)\left(p^{2}+16q\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.
a^{2}p^{3}-3ap^{3}-13p^{3}+16pqa^{2}-48apq-208pq
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}