SOLUTION: please help Write each complex number in standard form a + bi showing all work a) i^3(i-1) b) 1-3i/2+i c) (3+2i)-(1-i) d) (1+2i)^2

Question 42687: please help
Write each complex number in standard form a + bi showing all work
a)
i^3(i-1)
b)
1-3i/2+i
c) (3+2i)-(1-i)
d)
(1+2i)^2
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
a)
i^3(i - 1)
i^4 - i^3
(i^2)(i^2) - (i^2)i
(-1)(-1) - (-1)i
1 + i
b)
(1-3i)/(2+i)
((1-3i)(2-i))/((2+i)(2-i))
(2 - 6i - i - 3)/(4 + 2i - 2i - (-1))
(-7i - 1)/5
(-1/5) - (7/5)i
c)
(3+2i)-(1-i)
3 + 2i - 1 + i
2 + 3i
d)
(1+2i)^2
(1 + 2i)(1 + 2i)
1 + 2i + 2i + 4(-1)
-3 + 4i
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