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-\frac{7}{n+9}
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-\frac{7}{n+9}
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\frac{1}{n+9}\times \frac{7\left(-5n+7\right)}{5n-7}
Factor the expressions that are not already factored in \frac{49-35n}{5n-7}.
\frac{1}{n+9}\times \frac{-7\left(5n-7\right)}{5n-7}
Extract the negative sign in 7-5n.
\frac{1}{n+9}\left(-1\right)\times 7
Cancel out 5n-7 in both numerator and denominator.
\frac{1}{n+9}\left(-7\right)
Multiply -1 and 7 to get -7.
\frac{-7}{n+9}
Express \frac{1}{n+9}\left(-7\right) as a single fraction.
\frac{1}{n+9}\times \frac{7\left(-5n+7\right)}{5n-7}
Factor the expressions that are not already factored in \frac{49-35n}{5n-7}.
\frac{1}{n+9}\times \frac{-7\left(5n-7\right)}{5n-7}
Extract the negative sign in 7-5n.
\frac{1}{n+9}\left(-1\right)\times 7
Cancel out 5n-7 in both numerator and denominator.
\frac{1}{n+9}\left(-7\right)
Multiply -1 and 7 to get -7.
\frac{-7}{n+9}
Express \frac{1}{n+9}\left(-7\right) as a single fraction.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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}