Question

Factor the expression completely. 54 + 45x

Answer 1

To factor the expression \( 54 + 45x \) completely, we first look for the greatest common factor (GCF) of the coefficients 54 and 45.

The factors of each number are:
- Factors of 54: \( 1, 2, 3, 6, 9, 18, 27, 54 \)
- Factors of 45: \( 1, 3, 5, 9, 15, 45 \)

The greatest common factor of 54 and 45 is 9.

Now, we can factor out 9 from the expression:

\[
54 + 45x = 9(6 + 5x)
\]

Thus, the completely factored form of the expression is:

\[
\boxed{9(6 + 5x)}
\]