For this case we have the following expression:
[tex]24x + 18y[/tex]
By definition, distributive property states that:
[tex]a (b + c) = ab + ac[/tex]
Then, we look for the factors of 24 and 18:
24: 1,2,3,4,6,7,12,24
18: 1,2,3,6,9,18
Thus, the greatest common factor is: 6
Then, we can rewrite the expression as:
[tex]6 (4x + 3y)[/tex]
Answer:
[tex]6 (4x + 3y)[/tex]