Question

rewrite the expression by factoring out (v+3). 2v(v+3)+(v+3)

Explanation:

Step1: Identify common factor

The expression is \(2v(v + 3)+(v + 3)\). The common factor is \((v + 3)\).

Step2: Factor out \((v + 3)\)

Using the distributive property \(ab+ac=a(b + c)\), here \(a=(v + 3)\), \(b = 2v\), \(c = 1\) (since \((v + 3)=1\times(v + 3)\)). So we get \((v + 3)(2v+1)\).

Answer:

\((v + 3)(2v + 1)\)