SOLUTION: Simplify (1+2i)(1-2i).

Question 529800: Simplify (1+2i)(1-2i).
Found 2 solutions by jim_thompson5910, nyc_function:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression.

FOIL.

Multiply.

Replace with . Note: .

Multiply.

Combine like terms.

Simplify

So .

The expression is now in standard form where and

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Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
(1+2i)(1-2i) =
1 x 1 = 1
1 x -2i = -2i
2i x 1 = 2i
2i x (-2i) = -4(i^2)
1 - 2i + 2i -4(i^2)
1 - 4(-1) =
1 + 4 = 5

The answer is 5.
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