Finite Math Examples

$\frac{(a + b i) - 1}{(a + b i) + 1}$

Step 1

Remove parentheses.

$\frac{a + b i - 1}{a + b i + 1}$

Step 2

Split the fraction $\frac{a + b i - 1}{a + b i + 1}$ into two fractions.

$\frac{a + b i}{a + b i + 1} + \frac{- 1}{a + b i + 1}$

Step 3

Split the fraction $\frac{a + b i}{a + b i + 1}$ into two fractions.

$\frac{a}{a + b i + 1} + \frac{b i}{a + b i + 1} + \frac{- 1}{a + b i + 1}$

Step 4

Move the negative in front of the fraction.

$\frac{a}{a + b i + 1} + \frac{b i}{a + b i + 1} - \frac{1}{a + b i + 1}$