Solve 2n+1:n-3

$$2 n + 1 : n - 3$$

Evaluate

$$2n-3+\frac{1}{n}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2n-3 times \frac{n}{n}.

$$\frac{\left(2n-3\right)n}{n}+\frac{1}{n}$$

Since \frac{\left(2n-3\right)n}{n} and \frac{1}{n} have the same denominator, add them by adding their numerators.

$$\frac{\left(2n-3\right)n+1}{n}$$

Do the multiplications in \left(2n-3\right)n+1.

$$\frac{2n^{2}-3n+1}{n}$$

Factor

$$\frac{\left(n-1\right)\left(2n-1\right)}{n}$$