Question

prove that (1 + i)^4 ×[ 1+1/i ]^4 =16​

Answer 1

Answer:

At first apply the formula on LHS ,

[(a+b)²] = (a² + 2ab + b²)

then solve it and put the value of i² = -1.

(1 + i) ² (1+1/i)² = 16

LHS : =(1+i)² (1+1/2)²

= (1 + 2i +i²)² (1+2/i +1/i²)²

=(1+ 2i-1)² [1+(2/i )-1]² { i²= -1

=(2i)² (2i)²

=(-4) (-4)

= 16

RHS :

16

Hence, LHS = RHS

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Step-by-step explanation: