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Grade: 11

                        

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

3 years ago

Answers : (2)

Arun
24737 Points
							
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
 
3 years ago
Sudarshan B K
13 Points
							
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
.
2 years ago
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