Math, asked by pallu936, 9 months ago

225+(3w+8w^2)^2+(3w^2+8w)^2 w is a complex cube root of unity then,​

Answers

Answered by azizalasha
3

Answer:

solved

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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