Question

question
factor the expression completely.
5x - 10

Explanation:

Step1: Identify the GCF

Find the greatest common factor (GCF) of \(5x\) and \(10\). The GCF of \(5\) and \(10\) is \(5\), and \(x\) has no common factor with the constant term other than the GCF of the coefficients. So the GCF is \(5\).

Step2: Factor out the GCF

Factor out \(5\) from each term in the expression \(5x - 10\). Using the distributive property \(ab+ac = a(b + c)\) (in reverse, \(ab - ac=a(b - c)\)), we get \(5(x)-5(2)=5(x - 2)\).

Answer:

\(5(x - 2)\)