SOLUTION: I need to simplify this problem(5-2i)^2 I do not know if I did it right but the answer I got was 25-16i was I close?
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Question 173284: I need to simplify this problem(5-2i)^2 I do not know if I did it right but the answer I got was 25-16i was I close?
Found 4 solutions by jim_thompson5910, nerdybill, stanbon, monika_p:
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 .
So the expression is now in standard form where and
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Applying FOIL:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(5-2i)^2
Use Foil:
(5-2i)(5-2i)
F: 25
O: 5*-2i = -10i
I: 5*-2i = -10i
L: -2i*-2i = -4
--------------------
Combine to get:
21 - 20i
================
Cheers,
Stan H.
Answer by monika_p(71) (Show Source): You can put this solution on YOUR website!
remember that i^2=-1 then (-2i)^2=(-2)^2*i^2=4*(-1)=-4
(5-2i)^2=25-20i-4=21-20i
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