Evaluate
\frac{5\left(v+2\right)}{2}
Factor
\frac{5\left(v+2\right)}{2}
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\frac{5\times 2}{2}+\frac{5v}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{2}{2}.
\frac{5\times 2+5v}{2}
Since \frac{5\times 2}{2} and \frac{5v}{2} have the same denominator, add them by adding their numerators.
\frac{10+5v}{2}
Do the multiplications in 5\times 2+5v.
\frac{5\left(2+v\right)}{2}
Factor out \frac{5}{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}