\left. \begin{array} { l } { 5 ( 3 t - 4 ) - ( t ^ { 2 } + 2 ) - 2 t ( t - 3 ) } \\ { 15 t - 20 - t ^ { 2 } - 2 - 2 t ^ { 2 } + 6 t } \end{array} \right.
Least Common Multiple
-3t^{2}+21t-22
Evaluate
-3t^{2}+21t-22,\ -3t^{2}+21t-22
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21t-22-3t^{2}=-3\left(t-\left(-\frac{1}{6}\sqrt{177}+\frac{7}{2}\right)\right)\left(t-\left(\frac{1}{6}\sqrt{177}+\frac{7}{2}\right)\right) 21t-22-3t^{2}=-3\left(t-\left(-\frac{1}{6}\sqrt{177}+\frac{7}{2}\right)\right)\left(t-\left(\frac{1}{6}\sqrt{177}+\frac{7}{2}\right)\right)
Factor the expressions that are not already factored.
3\left(t-\left(-\frac{\sqrt{177}}{6}+\frac{7}{2}\right)\right)\left(t-\left(\frac{\sqrt{177}}{6}+\frac{7}{2}\right)\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.
3t^{2}-21t+22
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}