Question

Expand and simplify.(i reprsents the imaginary unit ) (i-3)^4

Answer 1

(i-3)^4
=(i-3)^2 (i-3)^2
=(i^2-6i+9)(i^2-6i+9) where i^2=-1
=(-1-6i+9)(-1-6i+9)
=(8-6i)(8-6i)
=(8-6i)^2
=(64-48i-48i+36i^2)
=64-96i-36
=28-96i ans....