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-1+\frac{6}{c}
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-1+\frac{6}{c}
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\frac{\left(6c-c^{2}\right)\left(1-c\right)}{\left(1-c\right)c^{2}}
Divide \frac{6c-c^{2}}{1-c} by \frac{c^{2}}{1-c} by multiplying \frac{6c-c^{2}}{1-c} by the reciprocal of \frac{c^{2}}{1-c}.
\frac{-c^{2}+6c}{c^{2}}
Cancel out -c+1 in both numerator and denominator.
\frac{c\left(-c+6\right)}{c^{2}}
Factor the expressions that are not already factored.
\frac{-c+6}{c}
Cancel out c in both numerator and denominator.
\frac{\left(6c-c^{2}\right)\left(1-c\right)}{\left(1-c\right)c^{2}}
Divide \frac{6c-c^{2}}{1-c} by \frac{c^{2}}{1-c} by multiplying \frac{6c-c^{2}}{1-c} by the reciprocal of \frac{c^{2}}{1-c}.
\frac{-c^{2}+6c}{c^{2}}
Cancel out -c+1 in both numerator and denominator.
\frac{c\left(-c+6\right)}{c^{2}}
Factor the expressions that are not already factored.
\frac{-c+6}{c}
Cancel out c in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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}