5) Write the expression as a product of two factors. 12x + 18y - 60
a) (2x + 3y - 60)
b) (x + y)(12 + 18 - 60)
c) 6(2x + 3y - 10)
d) (12x + 18y)(-60)

c) is the right answer.

Step-by-step explanation:

The Skills needed are: GCF, Division, and Factoring

If you want a product of 2 factors, and you have 2 variables, one of the factors will be a number.

Here we have:

12x + 18y-60

1) We need to find the GCF (Greatest Common Factor) of all coefficients (12,18, and 60)

    -12's factors are: 1,2,3,4,6,12

    -18's factors are: 1,2,3,6,9,18

    -60's factors are: 1,2,3,4,5,6,10,12,15,20,30,60

The GCF, or the biggest factor all these numbers share is: 6

2) So we can take out the 6 from all of these.

       -12x/6=2x

       -18y/6=3y

       -60/6=10

Our new expression with the 6 taken out would be: 6(2x + 3y - 10)

The only answer that has this is c)

Hope you understood and have a nice day!!

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