Answer:
18(2x - 3)
Step-by-step explanation:
Hey there! :)
In order to factor 36x - 54, you must find the common factors of it.
So, we must ask ourselves : what number goes into BOTH 36x & -54?
Our answer is going to be 18.
So, let's ask ourselves a couple more questions :
How many times does 18 go into 36x?
&
How many times does 18 go into -54?
36x ÷ 18 = 2x
-54 ÷ 18 = -3
Therefore, 18 goes into 36x 2 times while 18 goes into -54 3 times.
So now that we know that, simply take 18 out like so :
18(2x - 3)
This is our answer because when multiplied by 2x, 18 turns into 36x. In addition, when multiplied by 18, -3 turns into -54.
Hope I helped! :)