Answer
(2x + 3y)(x + 2)
Work Step by Step
1. Rearrange 2$x^{2}$ + 3xy + 4x + 6y = 2$x^{2}$ + 4x + 3xy + 6y
2. Factor out the GCF from the two groups of two monomials.
2x(x + 2) + 3y(x + 2)
3. Use the distributive property to simplify.
(2x + 3y)(x + 2)