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

11-158.
1. Let p = 2 + 5i and q = 3 − 4i. Calculate the following values and simplify to a + bi form. Homework Help ✎

1. p + q

2. p − q

3. p · q

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

(2 + 5i) + (3 − 4i)

Combine like terms.

(2 + 3) + (5i − 4i)

5 + i

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

Simplify.

Use the same method as part (a).

−0.56 + 0.92i

${\text{Remember that }i^2 = -1.}$

Use a generic rectangle to multiply the binomials.

26 + 27i