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Step-by-step explanation:
We know the identity a³ — b³ = (a - b)(a² + b² + ab)
Using the above identity, the equation x6 - y can be factorised as follows:
x6 — y6 = (x²)³ — (y²)³ =
(x² − y²) [(x²)² + (y²)² + (x² × y²)] = (x−y) (x + y) (x² + y² + xy) (x² + y² - xy)
(using identities a² − b² = (a + b)(a - b) and a¹ + b + a²b² = (a² + b² + ab) (a² + b² - ab))
Hence, x6-y6 = (x−y) (x+y) (x² + y² + xy) (x² + y² - xy)
hope it helps you !!!!! ☺️☺️☺️☺️☺️
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