Evaluate
\frac{25}{6\left(x+5\right)}
Factor
\frac{25}{6\left(x+5\right)}
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\frac{3}{2\left(x+5\right)}+\frac{8}{3\left(x+5\right)}
Factor 2x+10. Factor 3x+15.
\frac{3\times 3}{6\left(x+5\right)}+\frac{8\times 2}{6\left(x+5\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2\left(x+5\right) and 3\left(x+5\right) is 6\left(x+5\right). Multiply \frac{3}{2\left(x+5\right)} times \frac{3}{3}. Multiply \frac{8}{3\left(x+5\right)} times \frac{2}{2}.
\frac{3\times 3+8\times 2}{6\left(x+5\right)}
Since \frac{3\times 3}{6\left(x+5\right)} and \frac{8\times 2}{6\left(x+5\right)} have the same denominator, add them by adding their numerators.
\frac{9+16}{6\left(x+5\right)}
Do the multiplications in 3\times 3+8\times 2.
\frac{25}{6\left(x+5\right)}
Do the calculations in 9+16.
\frac{25}{6x+30}
Expand 6\left(x+5\right).
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Simultaneous equation
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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}