SOLUTION: calculate and write in standard form: (1-2i)^2, I have worked it down to 4i^2-4i+1 but can't figure out how to work it down even more.

Question 317789: calculate and write in standard form: (1-2i)^2, I have worked it down to 4i^2-4i+1 but can't figure out how to work it down even more.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Expand

FOIL.

Multiply.

Replace with . Note: .

Multiply.

Combine like terms.

So .