### Home > CCA2 > Chapter 11 > Lesson 11.2.3 > Problem 11-69

11-69.

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*)

Simplify.

5 + *i*

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

Use the same method as part (a).

−0.56 + 0.92i

Use a generic rectangle to multiply the binomials.

26 + 27*i*