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rewrite 8r+8s as a distributive property

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3 Answers

Hi Elizabeth.  Ralph already gave you a nice simple answer.  But one way to remember this for good is by thinking through a simple example.  If I asked you to solve 2(3+5), I am sure you would tell me - that easy!  Just add the 3 and 5, so that becomes 2(8) = 16.  But look at it again - a different way you can solve this is by "distributing" the 2 to the 3 and 5.  This gives you 2(3) + 2(5) = 6 + 10 = 16.  The example you give, 8r + 8s, which can be written as 8(r) + 8(s), is just the "backwards" working of the problem.  We have to think - is there some common term we can "factor out" (the reverse of "distributing") of the given terms?  Yes - in your case, 8.  Factor out the 8, and rewrite what's left:

  8r + 8s = 8(r) + 8(s) = 8(r+s).

Good luck!