Omega

Algebra Level 4

X=(3ω2+2ω+72ω2+7ω+3+58ω85ω2)2\large{ X={ (\frac { 3{ \omega }^{ 2 }+2\omega +7 }{ 2{ \omega }^{ 2 }+7\omega +3 } +\frac { 5-8\omega }{ 8-5{ \omega }^{ 2 } } ) }^{ 2 } }

Find the value of XX

Hint: ω\omega and ω2{ \omega }^{ 2 } are two of the cubic roots of 1

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