Factorize:
xy9–yx9
Given,
xy9 - yx9 = xy (y8-x8)
= xy ((y4)2 – (x4)2)
= xy (y4+x4) (y4 - x4)
= xy (y4+x4) (y2-x2) (y2+x2)
= xy (y4+x4) (y2+x2) (y – x) (y+x)