factor 9 Z + 18 using the GCF

1 answer

To factor the expression \(9Z + 18\) using the greatest common factor (GCF), follow these steps:

  1. Identify the GCF: The coefficients of the terms are 9 and 18. The GCF of 9 and 18 is 9.

  2. Factor out the GCF: Now, factor 9 out of each term in the expression:

    \[ 9Z + 18 = 9(Z) + 9(2) \]

    This can be rewritten as:

    \[ 9(Z + 2) \]

So, the factored form of \(9Z + 18\) is:

\[ \boxed{9(Z + 2)} \]