Question

`( (1 + i)/(1 - i) ) {}^(2)`
Please tell me the answer i need help ​

Answer 1

- 1

Explanation:

Given

(
`(1+i)/(1-i)` )²

=
`((1+i)^2)/((1-i)^2)`

=
`((1+i)(1+i))/((1-i)(1-i))` ← expand numerator/ denominator using FOIL

=
`(1+2i+i^2)/(1-2i+i^2)` ← simplify using i² = - 1

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

=
`(2i)/(-2i)`

= - 1