Question

The value of $(1+i{)}^6+(1-i{)}^6$ is
[RPET 2002]

• A.
  0
• B. 2⁷
• C. 2⁶
• D. None of these

Answer 1

The correct option is A

0

$(1+i{)}^6+(1-i{)}^6=\left[\right(1+i{)}^2{]}^3+\left[\right(1-i{)}^2{]}^3$
$(2i{)}^3+(-2i{)}^3=(8-8)i^3=0.$