Evaluate
\frac{1}{9n}
Expand
\frac{1}{9n}
Quiz
Polynomial
\frac { 2 n - 4 } { 27 n ^ { 2 } - 54 n } + \frac { n - 2 } { 27 n ^ { 2 } - 54 n } =
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\frac{2\left(n-2\right)}{27n\left(n-2\right)}+\frac{n-2}{27n^{2}-54n}
Factor the expressions that are not already factored in \frac{2n-4}{27n^{2}-54n}.
\frac{2}{27n}+\frac{n-2}{27n^{2}-54n}
Cancel out n-2 in both numerator and denominator.
\frac{2}{27n}+\frac{n-2}{27n\left(n-2\right)}
Factor the expressions that are not already factored in \frac{n-2}{27n^{2}-54n}.
\frac{2}{27n}+\frac{1}{27n}
Cancel out n-2 in both numerator and denominator.
\frac{3}{27n}
Since \frac{2}{27n} and \frac{1}{27n} have the same denominator, add them by adding their numerators. Add 2 and 1 to get 3.
\frac{2\left(n-2\right)}{27n\left(n-2\right)}+\frac{n-2}{27n^{2}-54n}
Factor the expressions that are not already factored in \frac{2n-4}{27n^{2}-54n}.
\frac{2}{27n}+\frac{n-2}{27n^{2}-54n}
Cancel out n-2 in both numerator and denominator.
\frac{2}{27n}+\frac{n-2}{27n\left(n-2\right)}
Factor the expressions that are not already factored in \frac{n-2}{27n^{2}-54n}.
\frac{2}{27n}+\frac{1}{27n}
Cancel out n-2 in both numerator and denominator.
\frac{3}{27n}
Since \frac{2}{27n} and \frac{1}{27n} have the same denominator, add them by adding their numerators. Add 2 and 1 to get 3.
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}