Question

Find the product : (m + n)( m- n)(m^2 + n^2)( m^4+ n^4)

Answer 1

Product of (m−n)(m
2
+mn+n
2
)
=m(m
2
+mn+n
2
)−n(m
2
+mn+n
2
)
=m
3
+m
2
n+mn
2
−m
2
n−mn
2
−n
3

=m
3
−n
3