Basic Math Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $- i (- b)$ .

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Step 1.2.1

Multiply $- 1$ by $- 1$ .

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

Step 1.2.2

Multiply $b$ by $1$ .

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

Step 2

Apply the distributive property.

$z = \frac{a + b - i a + b i}{a - b + i a + i b}$