Question

Use the distributive property with factoring to find the equivalent expression.

24x + 18y =

(4x +

y)

Answer 1

For this case we have the following expression:

`24x + 18y`

By definition, distributive property states that:

`a (b + c) = ab + ac`

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:

`6 (4x + 3y)`

Answer:

`6 (4x + 3y)`