Perform the indicated operation and write the result in the form a + bi.
(4 + 9i) (7-4i)

The result of (4 + 9i)(7 - 4i) in the form of a + bi is 64 + 47i.

Solution:

Given, product term is (4 + 9i)(7 – 4i )

We have to find the result and write it a + bi form.

Multiplying the terms we get,

We know that value of is -1

= 28 – 16i + 63i – 36(-1)

= (28 + 36) + (63 – 16)i

= 64 + 47i

Hence, the result is 64 + 47i which is in form of a + bi

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step-by-step explanation: