Perform the indicated operations on the resulting expressions if the given changes are made in the indicated examples of this section.

In Example 3(a), change the sign in the denominator from + to − and then simplify.

Data from Example 3(a)

This could be written in the form a + bj as 13/25 − 34/25j but this type of result is generally left as a single fraction. In decimal form, the result would be expressed as 0.52 − 1.36j.

7 - 2j 3+4j = = (7 - 2j)(3 - 4j) (3+4j)(3 4j+ 21 28j6j+8j 9-16j - 13 - 34j 25 -multiply by conjugate of denominator = 21 34j+ 8(-1) 9 - 16(-1)