Evaluate (1+i)^8 +(1-i)^9 =?

Answers (1)

Solution:   Given ,left ( 1+i 
ight )^8+left ( 1-i 
ight )^9

          \ \ Rightarrow hspace1cm [(1+i)^2]^4+[(1-i)^2]^4(1-i)\ \ Rightarrow hspace1cm(2i)^4+(-2i)^4(1-i)\ \ Rightarrow hspace1cm16+16(1-i)=16(2-i)=32-16i

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