Question

x=a+b , y=aw+bw² , z=aw²+bw , prove that xyz =a³+b³​

Answer 1

here should be mentioned that w is not equal to 1

then

w³-1=0

(w-1)(w²+w+1)=0

w=1

or

w²+w+1=0

also w is an imaginary number

remember

w²+w+1=0

i used this identity everywhere