home > q&a board > algebra thru pre-calculus > topic: factor by grouping

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posted by  BoZo on 10/8/2008 9:09:29 PM  |  status: Live  

Factor by grouping

Course Textbook Chapter Problem
Algebra Intermediate Algebra (10th) by Hornsby, Lial, McGinnis 6.1 85
Question Details:
 
  I do not understand please show work?
 
  a5 - 3 + 2a5b - 6b

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posted by rpple0_0 on 10/8/2008 9:32:39 PM  |  status: Live
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BoZo's comment:
"Thank You for the great answer!"
Response Details:
Grouping is a nice tool to use when learning how to factor



factor one term



now use the (1+2b) term as a factor for the other side
basically, what times (1+2b) gives (-3-6b)




notice how two of the terms are the same
since they are being multiplied you can factor them out
which results in the following



the key is to group the like items together and
work with smaller terms than in the initial problem

i hope this helps
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