Question

Factor this expression completely

18xy - 9wy - 12y

A. 3y(6x-3w-4)

B. 3(6xy-3wy-4y)

C. -3y(-6x+3w+4)

D. 9y(2x-3w-12)​

Answer 1

A

Explanation:

18xy-9wy-12y only have 3y in common so you divide them by 3y which is 3y(6x-3w-4).

this is the simplest form, the remaining doesn't have nothing in commun to factor.

Answer 2

3y(6x-3w-4)

Explanation:

18xy - 9wy - 12y

18xy = 3*3*2*x*y

9wy = 3*3*w*y

12y = 3*2*2*y

We can factor out a 3 and a y

3*3*2*x*y - 3*3*w*y - 3*2*2*y

3y(3*2*x - 3*w - 2*2)

3y(6x-3w-4)