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Factorise x {}^(8) - y {}^(8)
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5 votes
Factorise
x {}^(8) - y {}^(8)

User FocusedWolf
by
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1 Answer

4 votes
Solution :

x {}^(8) - y {}^(8) = (x {}^(4) ) {}^(2) - (y {}^(4) ) {}^(2)

= (x {}^(4) + y {}^(4) )(x {}^(4) - y {}^(4) )

= (x {}^(4) + y {}^(4) )[(x {}^(2) ) {}^(2) - (y {}^(2) )]

= (x {}^(4) + y {}^(4) )(x {}^(2) + y {}^(2) )(x {}^(2) - y {}^(2) )

= (x {}^(4) + y {}^(4) )(x {}^(2) + y {}^(2) )(x + y)(x - y)
User Naab
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