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cath trial 2006 (1 Viewer)

Riviet

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A slight alternative to part iii):

(z5-1)/(z-1)=(z4+z3+z2+z+1)=(z2+...)(z2+...)

Don't expand and let z=1, take common factor of 2 from each bracket on RHS and you instantly get the required result.
 
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