5 ^ { 2 } + 3 : 2 + ( 12 - 10
Evaluate
\frac{57}{2}=28.5
Factor
\frac{3 \cdot 19}{2} = 28\frac{1}{2} = 28.5
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25+\frac{3}{2}+12-10
Calculate 5 to the power of 2 and get 25.
\frac{50}{2}+\frac{3}{2}+12-10
Convert 25 to fraction \frac{50}{2}.
\frac{50+3}{2}+12-10
Since \frac{50}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.
\frac{53}{2}+12-10
Add 50 and 3 to get 53.
\frac{53}{2}+\frac{24}{2}-10
Convert 12 to fraction \frac{24}{2}.
\frac{53+24}{2}-10
Since \frac{53}{2} and \frac{24}{2} have the same denominator, add them by adding their numerators.
\frac{77}{2}-10
Add 53 and 24 to get 77.
\frac{77}{2}-\frac{20}{2}
Convert 10 to fraction \frac{20}{2}.
\frac{77-20}{2}
Since \frac{77}{2} and \frac{20}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{57}{2}
Subtract 20 from 77 to get 57.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}