What is the product of (2 + 3i) and (4 – 3i)? OA. 8-91 B. 8 - 31 O C. 17

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What is the product of (2 + 3i) and (4 – 3i)?

OA. 8-91
B. 8 - 31
O C. 17 – 182
D. 17 + 6

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20 votes

Answer:

17 + 6i

Explanation:

(2 + 3i)(4 - 3i) ← expand product using FOIL

= 8 - 6I + 12I - 9I² ( note i² = - 1 )

= 8 + 6i - 9(- 1)

= 8 + 6i + 9

= 17 + 6i

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