These are a little tougher, RP...
7) 42m^4 - 48 m^3 - 42m^2 + 48m
GCF 42m^4 and 48m^3 = 6m^3
GCF 42m^2 + 48 = 6m
So we have
6m^3 ( 7m - 8) - 6m (7m - 8)
(7m - 8) ( 6m^3 - 6m) ....we can factor 6m out of the second factor
(7m - 8 ) * 6m ( m^2 - 1) .....m^2 - 1 factors as a difference of squares = (m + 1) (m -1)
6m ( 7m - 8)(m + 1) (m - 1)
8) 56v^4 - 98v^3 - 64v^2 + 112v
GCF 56v^4 and 98 v^3 = 14v^3
GCF 64 v^2 and 112v = 16v
So we have
14v^3 ( 4v - 7) - 16v ( 4v - 7)
(4v - 7) ( 14v^3 - 16v) ....we can factor 2v out of the second factor
(4v - 7) *2v * (7v^2 - 8)
2v (4v - 7) (7v^2 - 8)