Evaluate
\frac{2\left(25n+9\right)}{3n\left(5n+2\right)}
Factor
\frac{2\left(25n+9\right)}{3n\left(5n+2\right)}
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\frac{9}{3n}+\frac{5}{3\left(5n+2\right)}
Factor 15n+6.
\frac{9\left(5n+2\right)}{3n\left(5n+2\right)}+\frac{5n}{3n\left(5n+2\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3n and 3\left(5n+2\right) is 3n\left(5n+2\right). Multiply \frac{9}{3n} times \frac{5n+2}{5n+2}. Multiply \frac{5}{3\left(5n+2\right)} times \frac{n}{n}.
\frac{9\left(5n+2\right)+5n}{3n\left(5n+2\right)}
Since \frac{9\left(5n+2\right)}{3n\left(5n+2\right)} and \frac{5n}{3n\left(5n+2\right)} have the same denominator, add them by adding their numerators.
\frac{45n+18+5n}{3n\left(5n+2\right)}
Do the multiplications in 9\left(5n+2\right)+5n.
\frac{50n+18}{3n\left(5n+2\right)}
Combine like terms in 45n+18+5n.
\frac{50n+18}{15n^{2}+6n}
Expand 3n\left(5n+2\right).
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}