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What is the value of the product {3-2i][3+2i}

2 Answers

4 votes
(3-2i)(3+2i)
=9+6i-6i-4i^2
i^2=-1
=9-4(-1)
=9+4
=13

Hope this can help.
User KostaZ
by
4.0k points
3 votes

Answer:

13

Explanation:

Step 1: Write out expression

(3 - 2i)(3 + 2i)

Step 2: FOIL

F - 9

O - 6i

I - -6i

L - -4i²

Step 3: Combine

9 + 6i - 6i - 4i²

Step 4: Combine like terms

9 - 4i²

Step 5: Simplify

i² = -1

9 - 4(-1)

9 + 4

13

User Abhay Sehgal
by
3.9k points