Question

Which of the following is a fully factored expression of 24x – 56y + 72?

8(3x – 7y) + 72

80(3x – 7y)

8(3x - 7y + 9)

24x - 56y + 72

Answer 1

24x-56y+72

8(3x-7y+9)

Answer 2

Option C.

Explanation:

The given expression is

`24x-56y+72`

We need to find the fully factored expression of given expression.

The given expression can be rewritten as

`8* 3* x-8* 7* y+8* 9`

Now, it is clear that 8 is the GCF in all terms.

Taking GCF, we get

`8(3x-7y+9)`

It is the fully factored form of the given expression.

Hence, the correct option is C.