I am looking factoring with the distributive property.

Question

4m^2 + 4mp + 3mp + 3p^2

Answer 1

You have a few options...
If you group the terms then you will have a common factor at the end.
(4m^2 + 4mp)+ (3mp + 3p^2)
This should get you started : )

Answer 2

Or... just put your 4mp and 3mp together and factor the trinomial : )
4m^2 + 7mp + 3p^2

Answer 3

I guess using distributive property backwards :)

4m (m+p)
+
3p (m+p)

=(4m+3p)(m+p)