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\frac{3}{7n^{2}}
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\frac{3}{7n^{2}}
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\frac{3}{35n^{3}+70n^{2}}\times \frac{30n\left(n+2\right)}{6n}
Factor the expressions that are not already factored in \frac{30n^{2}+60n}{6n}.
\frac{3}{35n^{3}+70n^{2}}\times 5\left(n+2\right)
Cancel out 6n in both numerator and denominator.
\frac{3}{35n^{3}+70n^{2}}\left(5n+10\right)
Expand the expression.
\frac{3\left(5n+10\right)}{35n^{3}+70n^{2}}
Express \frac{3}{35n^{3}+70n^{2}}\left(5n+10\right) as a single fraction.
\frac{3\times 5\left(n+2\right)}{35\left(n+2\right)n^{2}}
Factor the expressions that are not already factored.
\frac{3}{7n^{2}}
Cancel out 5\left(n+2\right) in both numerator and denominator.
\frac{3}{35n^{3}+70n^{2}}\times \frac{30n\left(n+2\right)}{6n}
Factor the expressions that are not already factored in \frac{30n^{2}+60n}{6n}.
\frac{3}{35n^{3}+70n^{2}}\times 5\left(n+2\right)
Cancel out 6n in both numerator and denominator.
\frac{3}{35n^{3}+70n^{2}}\left(5n+10\right)
Expand the expression.
\frac{3\left(5n+10\right)}{35n^{3}+70n^{2}}
Express \frac{3}{35n^{3}+70n^{2}}\left(5n+10\right) as a single fraction.
\frac{3\times 5\left(n+2\right)}{35\left(n+2\right)n^{2}}
Factor the expressions that are not already factored.
\frac{3}{7n^{2}}
Cancel out 5\left(n+2\right) in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}