Question :If are the three cube roots of unity , then = ?

1.	Question :If are the three cube roots of unity , then = ?
Answer» Solution: ( 3 + 3ω² + 5ω)⁶ - ( 2+ 6ω² + 2ω)³ = ( 3+3ω² + 3ω+ 2ω)⁶ - (2+ 4ω² + 2ω² + 2ω)³ = (3 (1 + w² + w) + 2ω)⁶ - (2(1 +ω² + ω) + 4ω = (2ω⁶) - (4ω²)³ = 0 ( 1 + ω + ω²=0) ANSWER is 0

Answer»

Solution:

( 3 + 3ω² + 5ω)⁶ - ( 2+ 6ω² + 2ω)³

= ( 3+3ω² + 3ω+ 2ω)⁶ - (2+ 4ω² + 2ω² + 2ω)³

= (3 (1 + w² + w) + 2ω)⁶ - (2(1 +ω² + ω) + 4ω

= (2ω⁶) - (4ω²)³ = 0 ( 1 + ω + ω²=0)

ANSWER is 0

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Question :If are the three cube roots of unity , then = ?​

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Question :If are the three cube roots of unity , then = ?