First of all, your question should be: Factor completely 2xy – 6mn – 3my + 4nx, and not Factorize completely 2xy – 6mn – 3m + 4nx. This noted, we proceed to the solution, which is:
2xy – 6mn – 3my + 4nx
→ y(2x – 3m) + 2n(–3m + 2x)
→ (2x – 3m) (y + 2n)
.: Final answer: (2x – 3m) (y + 2n)