L.C.M. = (x2 – y2) (x2 + xy + y2)
= (x – y)(x + y)(x2 + xy + y2)
and H.C.F. = (x – y)
In L.C.M. and H.C.F.
common factor is (x – y)
First expression
= (x – y) (x + y) = x2 – y2
and second expression
= (x – y) (x2 + xy + y2)
= x3 – x2y + x2y – xy2 + xy2 – y3
= (x3 – y3)
Hence, two expression are (x2 – y2) and (x3 – y3)