(3-4i)(1+5i)-(2-i) =
Step by step explanation would be appreciated, please and thank you very much!
Simplify the following:
(3 - 4 i) (1 + 5 i) - (2 - i)
-(2 - i) = -2 + i:
i - 2 + (3 - 4 i) (1 + 5 i)
(3 - 4 i) (1 + 5 i) = 3×1 + 3×5 i - 4 i×1 - 4 i×5 i = 3 + 15 i - 4 i + 20 = 23 + 11 i:
-2 + i + 23 + 11 i
-2 + i + 23 + 11 i = (23 - 2) + (i + 11 i) = 21 + 12 i:
21 + 12 i
Factor 3 out of 21 + 12 i giving 3 (7 + 4 i):
Answer: 3 (7 + 4 i)
Hope it was helpfull
