Final answer:
To multiply out 2x(x+3y), use the distributive property to distribute the 2x to both terms inside the parentheses, resulting in 2x^2 + 6xy.
Step-by-step explanation:
To multiply out 2x(x+3y), you can use the distributive property. Distribute the 2x to both terms inside the parentheses: 2x * x + 2x * 3y. This simplifies to 2x^2 + 6xy. So, the result of multiplying out 2x(x+3y) is 2x^2 + 6xy.