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If 1,w andw^2 are the cube root of unity then show(1-w+w^2)(1-w^2+w^4)(1-w^4+w^8)...upto n factors =2^2n

```
3 years ago

Shailendra Kumar Sharma
188 Points
```							as we know 1-w+w2= 0so 1+w2 =-w, so it will be -2wtake 1-w2+w4=1-w2+w3*w=1-w2+w(-w2-w2)=-2w2Next term is 1-w4+w8 =( 1-w+w2)so the trend will repeat Now (1-w+w2)X1-w2+w4 =(-2w)*(-2w2) =2^2similarly for n terms it will be 2^2n
```
3 years ago
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• Test paper with Video Solution
• Mind Map
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• NCERT Solutions
• Discussion Forum
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