<p>Let&nbsp;\(z_{1} = x_{1} + y_{1}i\) and \(z_{2} = x_{2} + y_{2}i\). We define:</p>
<ul class="bullet-list"><li><div class="list-item-content"><span class="list-item-text"><strong>Addition</strong> by \(z_{1} + z_{2} = (x_{1} + y_{1}i) + (x_{2} + y_{2}i) := (x_{1} + x_{2}) + (y_{1} + y_{2})i;\)</span></div></li><li><div class="list-item-content"><span class="list-item-text"><strong>Subtraction</strong> by \(z_{1} - z_{2} = (x_{1} + y_{1}i) - (x_{2} + y_{2}i) := (x_{1} - x_{2}) + (y_{1} - y_{2})i.\)</span></div></li></ul>

Let \(z_{1} = x_{1} + y_{1}i\) and \(z_{2} = x_{2} + y_{2}i\). We define:

**Addition** by \(z_{1} + z_{2} = (x_{1} + y_{1}i) + (x_{2} + y_{2}i) := (x_{1} + x_{2}) + (y_{1} + y_{2})i;\)

**Subtraction** by \(z_{1} - z_{2} = (x_{1} + y_{1}i) - (x_{2} + y_{2}i) := (x_{1} - x_{2}) + (y_{1} - y_{2})i.\)

Addition and subtraction

Addition and subtraction