CPM Homework Help : CCA2 Problem 9-57

CPM Homework Banner

Home > CCA2 > Chapter 9 > Lesson 9.2.1 > Problem 9-57

9-57.

If $a = 2 + 3i$ and $b = 1 - i$ , compute each of the following operations:

$a + b$
Step (a):
$(2 + 3i) + (1 - i)$
Combine like terms.

$a - b$
Answer (b):
$1 + 4i$
Did you remember to distribute the negative?

$ab$
Hint (c):
A generic rectangle can be used to multiply.
Remember that $i2 = -1$ .

$\frac { a } { b }$
Hint (d):
Multiply both the numerator and denominator by the complex conjugate of the denominator.
Answer (d):
$-\frac{1}{2}+\frac{5}{2}i$

© 2022 CPM Educational Program. All rights reserved.