Question

( left(3+5 w+3 w^{2}right)^{2}left(1+2 w+w^{2}right) )
( left(3+3 w+3 w^{2}+2 wright)^{2}left(1+2 c 0+w^{2}right) )
( 1+omega+omega^{2}=0 Rightarrow pi i s ) is triown
( left(3left(1+w+w^{2}right)+2 wright]^{2}left[1+w+w^{2}+wright] )
( begin{aligned}[3(0)+2 omega]^{2}[omega] & 203^{2}[omega] =& 4 omega^{2} omega =& 4 omega^{3} =& 4(1) =& 4 / / end{aligned} )

# 21. If 1, 0, w? are the three cube roots of unity, then simplify: (3 + 50 + 302) (1 +20 + 02)

Solution