• # question_answer The value of ${{(1+i)}^{6}}+{{(1-i)}^{6}}$ is  [RPET 2002] A) 0 B) 27 C) 26 D) None of these

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