Simplify-1-2i-2-7-1-2i-7-

Question Number 65983 by Rio Michael last updated on 07/Aug/19

S i m p l i f y

{(1 + 2 i \sqrt{2})}^{7} - {(1 + 2 i)}^{7}

Commented by Rio Michael last updated on 17/Aug/19

c a n i u s e d e {m o i v r e}^{'} s t h e o r e m ?

Answered by MJS last updated on 07/Aug/19

well, just do it!

{(1 + b)}^{7} = 1 + 7 b + 21 b^{2} + 35 b^{3} + 35 b^{4} + 21 b^{5} + 7 b^{6} + b^{7}

\dots

{(1 + 2 \sqrt{2} i)}^{7} - {(1 + 2 i)}^{7} = - 1540 - (278 - 1118 \sqrt{2}) i

Facebook Tweet Pin