If ` x=a+b, y=aomega+bomega^2 and z=aomega^2+bomega` where `omega` is an imaginary cube root of ...

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If ` x=a+b, y=aomega+bomega^2 and z=aomega^2+bomega` where `omega` is an imaginary If ` x=a+b, y=aomega+bomega^2 and z=aomega^2+bomega` where `omega` is an imaginary
If `x=a+b,y=aomega+bomega^2, z=aomega^2+bomega`, prove that `x^3+y^3+z^3=3(a^3+b^3)` If `x=a+b,y=aomega+bomega^2, z=aomega^2+bomega`, prove that `x^3+y^3+z^3=3(a^3+b^3)`
If omega be an imaginary cube root of unity, show that (a+bomega+comega^2)/(aomega+bomega^2+c) ... If omega be an imaginary cube root of unity, show that (a+bomega+comega^2)/(aomega+bomega^2+c) ...
If `omega` be an imaginary cube root of unity, show that ` (a+bomega+comega^2)/(aomega+bomega^2+... If `omega` be an imaginary cube root of unity, show that ` (a+bomega+comega^2)/(aomega+bomega^2+...
If `omega` be an imaginary cube root of unity, show that ` (a+bomega+comega^2) If `omega` be an imaginary cube root of unity, show that ` (a+bomega+comega^2)
If `=a+b,y=aomega+bomega^2 and z=aomega^2+bomega`, prove tht `xyz=a^3+b^3 If `=a+b,y=aomega+bomega^2 and z=aomega^2+bomega`, prove tht `xyz=a^3+b^3
рдпрджрд┐ x=a+b,y=aomega+bomega^2,z=aomega^2+bomega , рддреЛ x^3+y^3+z^3 = | 12 | рд╕рдореНрдорд┐рд╢реНрд░ рд╕рдВрдЦреНрдпрд╛рдпреЗрдВ | MA... рдпрджрд┐ x=a+b,y=aomega+bomega^2,z=aomega^2+bomega , рддреЛ x^3+y^3+z^3 = | 12 | рд╕рдореНрдорд┐рд╢реНрд░ рд╕рдВрдЦреНрдпрд╛рдпреЗрдВ | MA...
`omega` is an imagianry cube root of unity, show that, `(ab+bcomega+caomega^(2))^(2)+(abomega+bcom `omega` is an imagianry cube root of unity, show that, `(ab+bcomega+caomega^(2))^(2)+(abomega+bcom