Question

if 1,w, w^2 are the cube roots of Unity then (3+5w+3w^2)^2 is a)6 b)8 c)12 d)4​

Answer 1

Step-by-step explanation:

$(3 + 5w + 3 {w}^{2})^{2} \\ = (5w - 3w)^{2} \\ = 4 {w}^{2}$

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Answer 2

Answer:

Answer:1+3w+w2+(1+3-w2)4

Answer:1+3w+w2+(1+3-w2)41=3w +w2+(-w2+4)4

Answer:1+3w+w2+(1+3-w2)41=3w +w2+(-w2+4)4=1+3w+w2+w8+16w6+96w-256w2+256

= w8-16w6+96w -255w2+3w +257

=241-256w2+99w.

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