Question: Factor the expression completely.
36 - 27x
1. **State the problem:** We need to factor the expression $$36 - 27x$$ completely.
2. **Identify the greatest common factor (GCF):** The coefficients are 36 and 27. The GCF of 36 and 27 is 9.
3. **Write the expression as a product of the GCF and the remaining terms:**
$$36 - 27x = 9 \times 4 - 9 \times 3x$$
4. **Factor out the GCF:**
$$36 - 27x = 9(4 - 3x)$$
5. **Check if the expression inside the parentheses can be factored further:**
The expression $$4 - 3x$$ cannot be factored further since 4 and 3x have no common factors.
6. **Final factored form:**
$$9(4 - 3x)$$