Answer:
(5y - 2)(3x + 1)
Step-by-step explanation:
Let's focus on those first two terms, 15xy and 6x. They have two factors in common, an x and a 3, giving them a greatest common factor of 3x. If we factor that out, the expression 15xy - 6x becomes 3x(5y - 2). Substituting that into our original expression, we get the new expression
[tex]3x(5y-2)+5y-2[/tex]
Let's group those last two terms to make our next step clearer:
[tex]3x(5y-2)+(5y-2)[/tex]
Now, each term has the factor (5y - 2) in common. We can pull it out to get the fully factored expression
[tex](5y-2)(3x+1)[/tex]
