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\frac{2\times 50n}{2}-\frac{3n\left(n-1\right)}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply 50n times \frac{2}{2}.
\frac{2\times 50n-3n\left(n-1\right)}{2}
Since \frac{2\times 50n}{2} and \frac{3n\left(n-1\right)}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{100n-3n^{2}+3n}{2}
Do the multiplications in 2\times 50n-3n\left(n-1\right).
\frac{103n-3n^{2}}{2}
Combine like terms in 100n-3n^{2}+3n.
\frac{2\times 50n}{2}-\frac{3n\left(n-1\right)}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply 50n times \frac{2}{2}.
\frac{2\times 50n-3n\left(n-1\right)}{2}
Since \frac{2\times 50n}{2} and \frac{3n\left(n-1\right)}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{100n-3n^{2}+3n}{2}
Do the multiplications in 2\times 50n-3n\left(n-1\right).
\frac{103n-3n^{2}}{2}
Combine like terms in 100n-3n^{2}+3n.