### Home > A2C > Chapter 11 > Lesson 11.3.3 > Problem11-158

11-158.

Let $p = 2 + 5i$ and $q = 3 - 4i$.  Calculate the following values and simplify to $a + bi$ form.

1. $p + q$

Substitute the known values into the equation for $p$ and $q$.

$(2 + 5i) + (3 - 4i)$

Combine like terms.

$(2 + 3) + (5i - 4i)$

Simplify.

$5 + i$

Is this in $a + bi$ form? How can you tell?

1. $p - q$

Use the same method as part (a).

1. $p ⋅ q$

Remember that $i^2 = -1$.

Use a generic rectangle to multiply the binomials.

$26 + 27i$

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

$-0.56 + 0.92i$