Question

Find the value of complex expression : ( 1 + i )⁴ + ( 1 - i )⁴​

Answer 1

Answer:

given,

$(1 + i) {}^{4} + (1 - i) {}^{4}$

= [( 1 + i )² ]² + [ ( 1 - i )² ]²

= [ ( 1 + 2i + i² )]² +[ (1 - 2i + i²)]²

= [ ( 1 + 2i -1 )]² + [ (1 - 2i - 1)]²

= [ (2i) ]² + [ (-2i) ]²

= (2i)² + (-2i)²

= 4i² + 4i² [ i² = -1 ]

= -4 + (-4)

= - 4 - 4

= -8

Step-by-step explanation:

I have done this with a long math so that those who do not understand can understand them well