If ω is the cube root of unity, then (3+5 ω+3 ω2)2+(3+3 ω+5 ω2)2=

Question

If ω is the cube root of unity, then (3+5 ω+3 ω2)2+(3+3 ω+5 ω2)2= (A) 4 (B) 0 (C) -4 (D) 4 i

Tardigrade Admin · Accepted Answer

(3+5 ω+3 ω2)2+(3+3 ω+5 ω2)2=(2 ω)2+(2 ω2)2=4 ω2+4 ω4=-4

Q. If $ω$ is the cube root of unity, then $(3 + 5 ω + 3 ω^{2})^{2} + (3 + 3 ω + 5 ω^{2})^{2} =$