Final answer:
To factor out the greatest common factor of 24c, 36d, and 18 using the distributive property, find the GCF of the numerical coefficients, which is 6, and then write the factored expression as 6(4c + 6d + 3).
Step-by-step explanation:
To apply the distributive property and factor out the greatest common factor of the terms 24c, 36d, and 18, first identify the largest number that evenly divides into all three terms. The greatest common factor (GCF) of 24, 36, and 18 is 6. Next, divide each term by 6 and factor it out of the expression.
The factored expression will look like this: 6(4c + 6d + 3)
This expression shows the original terms now simplified with the GCF '6' factored out, yielding the terms 4c, 6d, and 3 inside the parentheses.