Subjects algebra

Factor Expression F1A07E

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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:** $$9(4 - 3x)$$