Question

prove that (1+i)^4+(1+1/i)^4= 16

Answer 1

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Prove this statement by rewriting the left hand side: 
(1 + i)⁴(1 + 1 / i)⁴ = 16 
LHS = (1 + i)⁴(1 + 1 / i)⁴ 
LHS = (1 + i)⁴(1 - i)⁴ 
LHS = [(1 + i)(1 - i)]⁴ 
LHS = 2⁴ 
LHS = 16 
LHS = RHS 
Since both sides are equal the statement has been proven.

Answer 2

Solution in the Attachment.