Answer
5a$b^{2}$(2ab + 1 - 3b)
Work Step by Step
We are given the polynomial 10$a^{2}$$b^{3}$ + 5a$b^{2}$ - 15a$b^{3}$. The GCF of all terms is 5a$b^{2}$, so we can factor that out from each term.
5a$b^{2}$(2ab) + 5a$b^{2}$(1) + 5a$b^{2}$(-3b)
Next, we can use the distributive property.
5a$b^{2}$(2ab + 1 - 3b)