Asked by PreCal
Write each expression in problems 1 to 3 in the form a + bi.
1. (8-3i)+(-6+2i)
2. 4/(2-i)
3. (3-2i)^3
I do not understand at all where to start. I tired looking on google to find a way to solve but I didn't get any real help. So please help me!
1. (8-3i)+(-6+2i)
2. 4/(2-i)
3. (3-2i)^3
I do not understand at all where to start. I tired looking on google to find a way to solve but I didn't get any real help. So please help me!
Answers
Answered by
Henry
1. 8 - 6 -3i + 2i = 2 - i.
2. 4 / (2 - i),
Multiply numerator and denominator by 2 + i:
(8 + 4i) / (2 - i)(2 + i),
(8 + 4i) / (4 + 1) = (8 + 4i) / 5.
3. (3 - 2i)^3 = (3 - 2i)^2 (3 - 2i)=
(9 - 12i + 4) (3 - 2i),
(13 - 12i) (3 - 2i),
39 - 26i - 36i - 24 = 15 - 62i.
2. 4 / (2 - i),
Multiply numerator and denominator by 2 + i:
(8 + 4i) / (2 - i)(2 + i),
(8 + 4i) / (4 + 1) = (8 + 4i) / 5.
3. (3 - 2i)^3 = (3 - 2i)^2 (3 - 2i)=
(9 - 12i + 4) (3 - 2i),
(13 - 12i) (3 - 2i),
39 - 26i - 36i - 24 = 15 - 62i.
Answered by
PreCal
Alright thank you. Can I also put them in my calculator? I wasn't sure but I did for the first one and got the same answer.
Answered by
Henry
That's fine if you don't have to show
your work.
your work.
Answered by
PreCal
Thank you so much for your help!
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