Question

find the value of (1-i)⁴​

Answer 1

Answer:

1+i²–2i² this is the answer#

Answer 2

Answer:

(1+i)4+(1−i)4

⇒  [(1+i)2]2+[(1−i)2]2

We know, (a+b)2=a2+2ab+b2 and (a−b)2=2−2ab+b2

⇒  [1+2i+i2]2+[1−2i+i2]2      

⇒  [1+2i−1]2+[1−2i−1]2                       [ i2=−1 ]

⇒  (2i)2+(−2i)2

⇒  4i2+4i2

⇒  −4−4

⇒  −8

∴   (1+i)4+(1−i)4=−8