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If w is complex cube root of unity ,show that 1) (2+w+w square)power 3-(1-3w+w square) power 3=65

Ankush charde , 7 Years ago
Grade 11
anser 2 Answers
Arun

Last Activity: 7 Years ago

As we know
1+ w+ w2 = 0
& w3 =1
We have to use only these two formulas to find the
answer-
(1+ 1+w+w2)3 - (1+w2 - 3w)3
(1+0)3 - (-w - 3w)3
1 - (-64 w3)
1+ 64
= 65
Hence proved
Hope it helps
 

Sudarshan B K

Last Activity: 6 Years ago

Take n terms of an AP for both Numerator and denominator. 
Cancel all the common terms on both side
Divide both side Numerator and denominator by 2.
Equate coefficient of 'd' in numerator and denominator to 5&20 respectively. 
Solvefor p&q
.

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