Question

Factor the expression completely. 8y - 36

Answer 1

`4(2y-9)`

Step-by-step explanation:

To begin factoring the expression
`8y-36`, we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into two or more values. We start to find it by factoring each term:

`8y: 2*4*y`

`-36: -1*4*9`

We notice the only common factors is 4.

We write in the form 4(____+_____). We find the inside of the parenthesis by dividing each term by 4.

`(8y)/(4) =2y`

`(-36)/(4) =-9`

4(2y-9)