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January 5th, 2010, 10:38 AM  #1 
Newbie Joined: Nov 2009 Posts: 2 Thanks: 0  grouping x^3x^2+x1
x^3x^2+x1 = x^2(x1)+(x1) = (x1)(x^2+1) My question is, that is there any logic behind it? I do understand this: x^3x^2+x1 = x^2(x1)+(x1) But can you please explain that: x^2(x1)+(x1) = (x1)(x^2+1) is it a formula or is there a logic behind it, that I can't see? 
January 5th, 2010, 10:44 AM  #2 
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3  Re: grouping x^3x^2+x1
In general, ac + bc = (a+b)c, or c(a+b) Now for your example let a = x², b = 1, and c = (x1) ac + bc = x²(x1)+1(x1) = (x1)(x²+1) = c(a+b) Can you see it? 
January 5th, 2010, 10:45 AM  #3 
Senior Member Joined: Nov 2008 Posts: 265 Thanks: 0  Re: grouping x^3x^2+x1
no problem you're correct: x^2(x1) + (x1) since you have a common (x1) in the expression on both sides of the addition symbol, you can factor out (x1) to get (x1)(x^2 + 1) does that make sense? 
January 5th, 2010, 10:58 AM  #4 
Newbie Joined: Nov 2009 Posts: 2 Thanks: 0  Re: grouping x^3x^2+x1
Oh yeah, now I see it. Thank you so much! 

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