Evaluate
\frac{2u+47}{5\left(u+1\right)}
Factor
\frac{2u+47}{5\left(u+1\right)}
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\frac{9\times 5}{5\left(u+1\right)}+\frac{2\left(u+1\right)}{5\left(u+1\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of u+1 and 5 is 5\left(u+1\right). Multiply \frac{9}{u+1} times \frac{5}{5}. Multiply \frac{2}{5} times \frac{u+1}{u+1}.
\frac{9\times 5+2\left(u+1\right)}{5\left(u+1\right)}
Since \frac{9\times 5}{5\left(u+1\right)} and \frac{2\left(u+1\right)}{5\left(u+1\right)} have the same denominator, add them by adding their numerators.
\frac{45+2u+2}{5\left(u+1\right)}
Do the multiplications in 9\times 5+2\left(u+1\right).
\frac{47+2u}{5\left(u+1\right)}
Combine like terms in 45+2u+2.
\frac{47+2u}{5u+5}
Expand 5\left(u+1\right).
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\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
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