if x=a+b,y=a ω +b ω 2 ,z=a ω 2 +b ω , then find the value of xyz ?

if x=a+b,y=aω+bω2,z=aω2+bω, then find the value of  xyz ?


1 Answers

Kevin Nash
askIITians Faculty 332 Points
12 years ago

Dear Mahima,

As you know that 'w' is the cube root of unity:

 so w3 = 1           &            w2+w + 1 = 0;



       = w2 (a+b)(a+bw)(aw+b)


        =(a+b)(a+bw)(a+bw2) =a3+b3

  Thus your required answer is  : " a3+b3 " provides online iit jee courses and IIT JEE Test Series with IITians. Click here to get free online test series and check your status timely or you can join us as our registered user for getting best iit jee study material or iit jee test series.

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