x12-y12 is equal to ?
Simplify using algebraic identities
x12-y12=x62-y62=x6-y6x6+y6∵a2-b2=a-ba+b=x32-y32x6+y6=x3-y3x3+y3x6+y6∵a2-b2=a-ba+b=x3-y3x3+y3x6+y6=x-yx2+y2+xyx3+y3x6+y6∵a3-b3=a-ba2+b2+ab
Thus, x12-y12=x-yx2+y2+xyx3+y3x6+y6