Question

Xpower12-ypower12 please factorise this

Answer 1

x^12 - y^12 = ( x^6 )^2 - ( y^6 )^2

= ( x^6 - y^6 ) ( x^6 + y^6)

= {(x^3 )^2 - (y^3)^2 } ( x^6 + y^6 )

= (x^3 - y^3 ) (x^3 + y^3 ) (x^6 + y^6 )

= ( x - y ) ( x^2 + xy + y^2 ) ( x + y ) ( x^2 - xy + y^2 ) ( x^6 + y^6 )

= (x - y ) (x + y ) ( x^2 - xy + y^2 ) ( x^2 + xy + y^2 ) (x^6 + y^6 )

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| : hope it helps : |
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