[" If "omega" is an imaginary cube root of unity,prove that "],[(1)/(1+2 omega)+(1)/(2+omega)-(1)/(1+omega)=0]

If omega be an imaginary cube root or unity, prove that (1)/(1+2 omega)-(1)/(1+ omega)+(1)/(2+omega)=0

If omega is an imaginary cube root of unity, then the value of (1)/(1+2omega)+(1)/(2+omega)-(1)/(1+omega) is :

If w be an imaginary cube root of unity,show that :(1)/(1+2w)+(1)/(2+omega)-(1)/(1+omega)=0

If omega be an imaginary cube root of unity, show that: 1/(1+2omega)+ 1/(2+omega) - 1/(1+omega)=0 .

If omega be an imaginary cube root of unity, show that: 1/(1+2omega)+ 1/(2+omega) - 1/(1+omega)=0 .

If omega be an imaginary cube root of unity, prove that (1-omega)(1-omega^2)(1-omega^4)(1-omega^8)=9

If omega be an imaginary cube root of unity, prove that (1-omega+omega^2)(1+omega-omega^2)=4

If omega is an imaginary cube root of unity, then show that (1-omega)(1-omega^2)(1-omega^4) (1-omega^5)=9

If omega be an imaginary cube root of unity, prove that omega^4+omega^8+1/omega+1/omega^2=-2

If omega be an imaginary cube root or unity, prove that (1- omega+ omega^(2)) (1-omega^(2)+ omega^(4)) (1- omega^(4)+ omega ^(8))..."to" 2 n th factor =2^(2n)