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Express (4 - 5i)(5 + 5i) in the form a + bi where a and b are integers and i^2 = -1.

 Feb 16, 2022
 #1
avatar+2668 
+1

Distribute the equation, and you get \(20+20i-25i-25i^2\)

 

After simplifying, you get: \(-25i^2-5i+20\)

 

Substitute -1 for \(i^2\)\((-25)(-1)-5i+20\)

 

Simplify again, and we find that the answer is: \(\color{brown}\boxed{-5i+45}\)

 Feb 16, 2022
 #2
avatar+1632 
+7

Great step-by-step process and well detailed explanations.

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Great job BuilderBoi! Keep working hard!

proyaop  Feb 16, 2022
 #3
avatar+2668 
0

Thank You!!!

BuilderBoi  Feb 17, 2022

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