Question

find the value of (1+i)^5 (1+1/i)^5​

Answer 1

STEP BY STEP EXPLANATION

( 1+ 1 ) ^ 5 ( 1 - i ) ^ 5

( 1 + i ) * ( 1 + i ) ^ ( 5 + 5 )

[( 1 ^ 2 - 1 ^ 2 ) ] ^ 10]

( 1 + i ) ^ ( 2 + 10 )

1 - i ^ 12

Here ( a + b ) ( a - b ) = a ^ 2 - b ^ 2

IDENTITY IS USED