Evaluate
-\frac{2n}{m}+2
Expand
-\frac{2n}{m}+2
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\frac{\left(2m+6\right)\left(m^{2}-mn\right)}{m^{2}\left(m+3\right)}
Divide \frac{2m+6}{m^{2}} by \frac{m+3}{m^{2}-mn} by multiplying \frac{2m+6}{m^{2}} by the reciprocal of \frac{m+3}{m^{2}-mn}.
\frac{2m\left(m+3\right)\left(m-n\right)}{\left(m+3\right)m^{2}}
Factor the expressions that are not already factored.
\frac{2\left(m-n\right)}{m}
Cancel out m\left(m+3\right) in both numerator and denominator.
\frac{2m-2n}{m}
Expand the expression.
\frac{\left(2m+6\right)\left(m^{2}-mn\right)}{m^{2}\left(m+3\right)}
Divide \frac{2m+6}{m^{2}} by \frac{m+3}{m^{2}-mn} by multiplying \frac{2m+6}{m^{2}} by the reciprocal of \frac{m+3}{m^{2}-mn}.
\frac{2m\left(m+3\right)\left(m-n\right)}{\left(m+3\right)m^{2}}
Factor the expressions that are not already factored.
\frac{2\left(m-n\right)}{m}
Cancel out m\left(m+3\right) in both numerator and denominator.
\frac{2m-2n}{m}
Expand the expression.
Examples
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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
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