Question

rewrite the expression by factoring out (w-3). 7w²(w-3)+2(w-3)

Explanation:

Step1: Identify common factor

The expression is \(7w^2(w - 3)+2(w - 3)\). The common factor is \((w - 3)\).

Step2: Factor out \((w - 3)\)

Using the distributive property \(ab+ac=a(b + c)\), here \(a=(w - 3)\), \(b = 7w^2\), \(c = 2\). So we get \((w - 3)(7w^2+2)\).

Answer:

\((w - 3)(7w^2 + 2)\)