Factor 35uv-5u-56v+8

Factor the following:

35 u v - 5 u - 56 v + 8

Factor terms by grouping. 35 u v - 5 u - 56 v + 8 = (35 u v - 56 v) + (8 - 5 u) = 7 v (5 u - 8) - (5 u - 8):

7 v (5 u - 8) - (5 u - 8)

Factor 5 u - 8 from 7 v (5 u - 8) - (5 u - 8):

Answer: (5 u - 8) (7 v - 1)