multiply 2x (x + 2xy)

To multiply 2x(x + 2xy), we need to apply the distributive property.

First, we distribute the 2x to both terms inside the parentheses:

2x * x + 2x * 2xy
= 2x^2 + 4x^2y

Therefore, 2x(x + 2xy) simplifies to 2x^2 + 4x^2y.