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1. Evaluate 10001^2 - 9999^2

 

2. Evaluate (-5+2i)/(1+7i)

i=sqrt(-1)

Write your answer in the form a+bi

 Feb 20, 2021

Best Answer 

 #1
avatar+944 
+2

1. \(10001^2 -9999^2 = (10001 + 9999)(10001 - 9999) = (20000)(2) = \boxed{40000}\)

 

2. \(\frac{-5+2i}{1+7i} \cdot \frac{1-7i}{1-7i} = \frac{-5+2i+35i-14i^2}{50} = \boxed{\frac{9+37i}{50}}\)

 Feb 20, 2021
 #1
avatar+944 
+2
Best Answer

1. \(10001^2 -9999^2 = (10001 + 9999)(10001 - 9999) = (20000)(2) = \boxed{40000}\)

 

2. \(\frac{-5+2i}{1+7i} \cdot \frac{1-7i}{1-7i} = \frac{-5+2i+35i-14i^2}{50} = \boxed{\frac{9+37i}{50}}\)

CubeyThePenguin Feb 20, 2021

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