Question

The value of (1+i)(1+i³)(1+i⁴) is?

Answer 1

Step-by-step explanation:

(1+i)(1+i³)(1+i⁴)

= (1+i){1+(-i)}(1+1) [i=√-1 so, i³= -i

and i⁴= 1]

=(1+i)(1-i)2

=(1²-i²)2

={1-(-1)2 [i²= -1]

=(1+1)2

=4