The problem asks us to factorize the expression $2x(x+3) - (x+3)^2$.

1. Problem Description

The problem asks us to factorize the expression $2x(x+3) - (x+3)^2$.

2. Solution Steps

First, we notice that $(x+3)$ is a common factor in both terms. We can factor it out:

$2x(x+3) - (x+3)^2 = (x+3)[2x - (x+3)]$

Now, we simplify the expression inside the square brackets:

$2x - (x+3) = 2x - x - 3 = x - 3$

So the expression becomes:

$(x+3)(x-3)$

3. Final Answer

$(x+3)(x-3)$