Complex Numbers And Quadratic Equations question 403
Question: The value of $ {{(1+i)}^{6}}+{{(1-i)}^{6}} $ is [RPET 2002]
Options:
0
27
26
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ {{( 1+i )}^{6}}+{{(1-i)}^{6}}={{[{{(1+i)}^{2}}]}^{3}}+{{[{{(1-i)}^{2}}]}^{3}} $ $ ={{(2i)}^{3}}+{{(-2i)}^{3}} $ $ =(-8i^{3}-8i^{3})=0 $ .
BETA
