\left. \begin{array} { l } { 15 a ^ { 2 } - 6 a b - 8 a ^ { 2 } + 20 - 5 a b - 31 + a ^ { 2 } - a b } \\ { a \quad b \quad 3 a \quad b \quad 3 \quad 1 } \end{array} \right.
Least Common Multiple
b_{3}b_{31}a^{2}\left(11+12ab-8a^{2}\right)
Evaluate
8a^{2}-12ab-11,\ b_{3}b_{31}a^{2}
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b_{3}b_{31}a^{2}\left(11+12ab-8a^{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.
12bb_{3}b_{31}a^{3}-8b_{3}b_{31}a^{4}+11b_{3}b_{31}a^{2}
Expand the expression.
Examples
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{ 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}