Grade 11Algebra
If w is complex cube root of unity ,show that 1) (2+w+w square)power 3-(1-3w+w square) power 3=65
2 Answers
Arun
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
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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