225+(3w+8w^2)^2+(3w^2+8w)^2 w is a complex cube root of unity then,
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Step-by-step explanation:
225+(3w+8w^2)^2+(3w^2+8w)^2 w
= 225+(3w+8w²)²+(3w²+8w)² w
= 225+(3w+8w²)²+(3w²+8w)² /w²
= 225+(3w+3w² + 5w²)²+(3w+8)²
= 225+( 5w² - 3)²+(3w+8)²
= 225+ (5w² - 3)²+(3w+8)²
= 225+ (-5w-5 - 3)²+(3w+8)²
= 225+ (5w+8)²+(3w+8)²
= 225+25w² +80w+64+9w²+48w+64
= 34w² +128w+128+225
= 225 -128w²+34w²
=225 - 94w²
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