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

11th - 12th Class
Maths
Solution
112
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( 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} )
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