Question

$(2 - i) {}^{4}$
in a+ib form​

Answer 1

=> (2 - i)⁴

=> [ (2 - i)² ]²

=> [ 2² + i² - 2(2*i) ]²

=> [ 4 + (-1) - 4i ]² [ i² = - 1 ]

=> [ 4 - 1 - 4i ]²

=> (3 - 4i)²

=> 3² + (4i)² - 2(4i*3)

=> 9 + 16(-1) - 24i

=> 9 - 16 - 24i

=> - 7 - 24i