Subject :IMO Class : Class 9

** x^{12}-
y^{12} =**

(A) (*x* -
*y*)(*x*^{2} + *xy* +
*y*^{2})(*x* +
*y*)(*x*^{2} -*xy* +
*y*^{2})(*x*^{2} +
*y*^{2})(*x*^{4}-
*x*^{2}*y*^{2} +
*y*^{4})

(B) (

*x*+

*y*)(

*x*

^{2}-

*xy*+

*y*

^{2})(

*x*+

*y*)(

*x*

^{2}-

*xy*+

*y*

^{2})(

*x*

^{2}+

*y*

^{2})(

*x*

^{4}-

*x*

^{2}

*y*

^{2}+

*y*

^{4})

(C) (

*x*+

*y*)(

*x*

^{2}+

*xy*-

*y*

^{2})(

*x*+

*y*)(

*x*

^{2}-

*xy*+

*y*

^{2})(

*x*

^{2}+

*y*

^{2})(

*x*

^{4}-

*x*

^{2}

*y*

^{2}+

*y*

^{4})

(D) (

*x*-

*y*)(

*x*

^{2}-

*xy*+

*y*

^{2})(

*x*+

*y*)(

*x*

^{2}-

*xy*+

*y*

^{2})(

*x*

^{2}+

*y*

^{2})(

*x*

^{4}-

*x*

^{2}

*y*

^{2}+

*y*

^{4})