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The greatest common factor of each term in the expression 60ab - 72b is 12b.  Which choice shows the expression written as a product?

 

 Mar 15, 2021
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i will first separate 12b into two different factors: 12 and b - we will factor these out one at a time (hopefully this step makes sense). this way it will be easier to understand, and solve. 

 

first, let us factor out the 12 from the expression. 60 / 12 = 5, and 72 / 12 = 6. 

 

this would be the current expression: 12(5ab - 6b). now, let's disregard the 12 factor for a moment, so we can factor out the b in the other factor. (sorry if the wording here is a bit strange)

 

5ab / b = 5a, and -6b / b = -6. 

 

here is the resulting expression (make sure to remember the 12 we factored out at the beginning!):

 

12b(5a - 6), which is the second option.

 

hope this helped! please let me know if you have any questions :)

 Mar 15, 2021
edited by euph0ria  Mar 15, 2021

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