### Home > A2C > Chapter 12 > Lesson 12.3.2 > Problem12-150

12-150.

Let $p = 2 + 5i$ and $q = 3 − 4i$. Calculate each of the following and give your answer in the form $a + bi.$

1. $p − q$

$\left(2 + 5i\right) − \left(3 − 4i\right)$

1. $p · q$

Use a generic rectangle.

$26 + 7i$

1. $\frac { p } { q }$

Multiply by the conjugate and simplify.

$-\frac{14}{25}+\frac{23}{25}i$

1. $p^{2}$

See part (b).