Question

The value of ( 1- i)²[1-(1/i)]²is ??
2
4
-2
-4​

Answer 1

Answer:

$= (1 - i) {}^{2} (1 - \frac{1}{i} ) {}^{2}$

$= (1 - i) {}^{2} (1 - ( - i) {}^{2}$

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

$=( {1}^{2} - {i}^{2} ) { }^{2}$

$= 1 - ( - 1) {}^{2}$

$= (1 + 1) {}^{2}$

$= {2}^{2}$

$= 4$