Question

question
factor the expression completely.
63 - 54x

Explanation:

Step1: Find the GCF of 63 and 54

The factors of 63 are \(1, 3, 7, 9, 21, 63\). The factors of 54 are \(1, 2, 3, 6, 9, 18, 27, 54\). The greatest common factor (GCF) is 9.

Step2: Factor out the GCF

Using the distributive property \(ab - ac = a(b - c)\), where \(a = 9\), \(b = 7\) (since \(63\div9 = 7\)), and \(c = 6x\) (since \(54x\div9 = 6x\)). So, \(63 - 54x = 9(7 - 6x)\).

Answer:

\(9(7 - 6x)\)