Question

factorise x^8-y^8.can you solve it fast and send the pic?

Answer 1

x^8 - y^8

_______________________________
Use identity : a^2 - b^2 = ( a - b ) ( a + b )
_______________________________

=( x^4 )^2 - ( y^4 )^2

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

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

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

_______________________________
=( x - y ) ( x + y ) (x^2 + y^2 ) ( x^4 + y^4 )
_______________________________