+(1)/((w))(1+(1)/(w^(2)))+(2+(1)/(w))(2+(1)/(16))+-4(n+(1)/(w))(n+(1)/(b^(2)))

The value of the expression (1+(1)/(w))(1+(1)/(w^(2)))+(2+(1)/(w))(2+(1)/(w^(2)))+(3+(1)/(w))(3+(1)/(w^(2)))+......+(n+(1)/(w))(n+(1)/(w^(2))) where w is an imaginary cube root of unity

If omega ne 1 is a cube root of unity satisfying (1)/(a + w) + (1)/(b + w) + (1)/(c +w) = 2 w^(2) and (1)/(a + w^(2)) + (1)/(b + w^(2)) + (1) /(c + w^(2)) = 2w then the value of (1)/(a + 1) + (1)/(b + 1) + (1)/(c + 1) is

The value of the expression 2(1+(1)/(omega))(1+(1)/(omega^(2)))+3(2+(1)/(omega))(2+(1)/(omega^(2)))+4(3+(1)/(omega^()))(3+(1)/(omega^(2)))+.......+(n+1)(n+(1)/(omega^()))(n+(1)/(omega^(2))) where omega is an imaginary cube roots of unity, is:

The value of the expression 2(1+(1)/(omega))(1+(1)/(omega^(2)))+3(2+(1)/(omega))(2+(1)/(omega^(2)))+4(3+(1)/(omega^()))(3+(1)/(omega^(2)))+.......+(n+1)(n+(1)/(omega^()))(n+(1)/(omega^(2))) where omega is an imaginary cube roots of unity, is:

If omega is a complex cube root of unity,then the value of the expression 1(2-omega)(2-omega^(2))+2(3-omega)(3-omega^(2))+...+(n-1)(n-omega)(n-omega^(2))(n-omega^(2))(n>=2) is equal to (A) (n^(2)(n+1)^(2))/(4)-n( B) (n^(2)(n+1)^(2))/(4)+n( C) (n^(2)(n+1))/(4)-n(D)(n(n+1)^(2))/(4)-n

If omega_(1) is complex cube root of that (1)/(a+omega)+(1)/(b+omega)+(1)/(c+omega)=2 omega^(2) and (1)/(a+omega^(2))+(1)/(b+omega^(2))+(1)/(c+omega^(2))=2 omega then the value of (1)/(a+1)+(1)/(b+1)+(1)/(c+1)=

If omega_(1) is complex cube root of that (1)/(a+omega)+(1)/(b+omega)+(1)/(c+omega)=2 omega^(2) and (1)/(a+omega^(2))+(1)/(b+omega^(2))+(1)/(c+omega^(2))=2 omega then the value of (1)/(a+1)+(1)/(b+1)+(1)/(c+1)=