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4 votes
Which expression is equivalent to(4+6i)^2

2 Answers

6 votes

the answer is -20+48i

User Thotruong
by
7.5k points
4 votes
(4 + 6i)^2 = (4 + 6i)(4 + 6i)

Use the FOIL method

4(4) = 16

4(6i) = 24i

6i(4) = 24i

6i(6i) = 36i², or -36 (note, i² = -1)

24i + 24i = 48i

16 + 48i - 36 = 48i - 20

48i - 20 is your answer

hope this helps
User Lloan
by
7.7k points