Expand then factor \[ (3 x+2)^{n} 2-(5 x+3)^{n} 2 \]

Step 1 ：Expand the given expression: \(2(3x + 2)^n - 2(5x + 3)^n\)

Step 2 ：Factor out the common term 2: \(2((3x + 2)^n - (5x + 3)^n)\)

Step 3 ：\(\boxed{2((3x + 2)^n - (5x + 3)^n)}\)