Final answer:
To factor out the greatest common factor using the distributive property, you need to find the highest common factor of both numbers. In this case, the GCF is 9. So, you can rewrite the expression as 9*(6-5).
Step-by-step explanation:
To factor out the greatest common factor using the distributive property, you need to find the highest common factor of both numbers. In this case, the greatest common factor of 54 and 45 is 9. So, you can rewrite the expression as 9*(6-5).
Using the distributive property, you multiply the GCF by each term inside the parentheses. This gives you 9*6 - 9*5.
Simplifying further, you have 54 - 45.