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

11-158.

Let

*p*= 2 + 5*i*and*q*= 3 − 4*i*. Calculate the following values and simplify to*a*+*bi*form. Homework Help ✎*p*+*q**p − q**p*·*q*

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

(2 + 5*i*) + (3 − 4*i*)

Combine like terms.

(2 + 3) + (5*i* − 4*i*)

5 + *i*

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

Simplify.

Use the same method as part (a).

−0.56 + 0.92i

Use a generic rectangle to multiply the binomials.

26 + 27*i*