Q. The value of $(1 + i)^{5} \times (1 - i)^{5}$ is

287 164 Complex Numbers and Quadratic Equations Report Error

A

$- 8$

33%

B

$8 i$

37%

C

8

17%

D

32

13%

Solution:

$(1 + i)^{5} (1 - i)^{5} = (1 - i^{2})^{5}$
$= 2^{5} = 32$