Question

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

Explanation:

Step1: Identify common factor

Both terms have \((w - 7)\) as a factor.

Step2: Factor out \((w - 7)\)

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

Answer:

\((w - 7)(7 - 3w)\)