### Home > INT3 > Chapter 8 > Lesson 8.1.1 > Problem 8-13

8-13.

Simplify each expression. Homework Help ✎

(3 + 4

*i*) + (7 – 2*i*)(3 + 5

*i*)^{2}(7 +

*i*)(7 –*i*)(3

*i*)(2*i*)^{2}*i*^{3}*i*^{32}

Combine the real terms with real terms and complex terms with complex terms.

Use are area model. (3 + 5*i*)(3 + 5*i*)

Remember that *i*^{2} = –1.

50

Remember the Order of Operations.

–*i*

*i*^{4} = 1