We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+1
909
1
avatar+601 

Simplify \((i+1)^{3200}-(i-1)^{3200}\)

 Dec 12, 2017
 #1
avatar+104712 
+1

( i + 1)3200  -  ( i - 1)3200   =

 

[ ( 1 + i)2]1600 - [ ( 1 - i)2]1600  = 

 

[  1 + 2i + i2 ] 1600 -  [ 1 - 2i + i2 ]1600   =

 

[ 1 + 2i - 1 ] 1600  -  [ 1 -2i - 1] 1600   =

 

[ 2i ]1600 - [  (-1) 2i ] 1600  =        {   (-1)2n  = 1   }

 

[2i]1600  -  [ 2i ] 1600   =

 

0

 

 

cool cool cool

 Dec 12, 2017
edited by CPhill  Dec 12, 2017

24 Online Users

avatar