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\frac{v^{2}}{2}+\frac{2C}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply C times \frac{2}{2}.
\frac{v^{2}+2C}{2}
Since \frac{v^{2}}{2} and \frac{2C}{2} have the same denominator, add them by adding their numerators.
\frac{v^{2}+2C}{2}
Factor out \frac{1}{2}.