Question

Select the correct answer. Which expression is equivalent to this polynomial? 15x − 24 A. 3(5x − 24) B. 3(5x − 8) C. 5(3x − 8) D. 3(5x − 5)

Answer 1

B. 3(5x-8)

Explanation:

Use the distributive property to propagate the multiplication by 3 over the terms:

3(5x-8) = 3*5x + 3*-8 = 15x - 24.

Answer 2

For this case we must find an expression equivalent to:

`15x-24`

We take common factor 3. 3 is the largest number that divides 15 and 24 without leaving any remainder.

So, we have:

`3 (5x-8)`

Thus, the equivalent expression is:
`3 (5x-8)`

ANswer:

Option B