Rewrite the expression by factoring out $(u+2)$. \[ 2(u+2)-7 u(u+2) \]

Step 1 ：Rewrite the expression by factoring out \((u+2)\). The given expression is \(2(u+2)-7 u(u+2)\).

Step 2 ：The expression given is a difference of two terms, both of which contain the factor \((u+2)\). Therefore, we can factor out \((u+2)\) from both terms to simplify the expression.

Step 3 ：By factoring out \((u+2)\), the expression becomes \(-(u + 2)(7u - 2)\).

Step 4 ：Final Answer: The expression \(2(u+2)-7 u(u+2)\) can be factored out as \(\boxed{-(u+2)(7u-2)}\).