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 October 1st, 2007, 11:52 AM #1 Newbie   Joined: Oct 2007 Posts: 3 Thanks: 0 Yes, this may be an easy question, but im stumped ok, so i've just entered college after taking a year off after high school. So I have COMPLETELY lost all my math skills.....so if you could run me throught the process of how to complete this question, it should clear up some of the others. Thanks! Simplify: (3/x) + [1/(x^2 + x)] ---------------------------- (1/x+1) - (1/x-1) The answer in the book is : (3x+4)(x-1) -------------- -2x October 1st, 2007, 02:35 PM #2 Senior Member   Joined: Sep 2007 From: USA Posts: 349 Thanks: 67 Math Focus: Calculus For the denominator, do you mean 1/(x + 1) - 1/(x - 1) or 1/x + 1 - 1/x + 1? October 1st, 2007, 02:37 PM #3 Newbie   Joined: Oct 2007 Posts: 3 Thanks: 0 1/(x + 1) - 1/(x - 1) sorry for the confusion October 1st, 2007, 03:02 PM #4 Senior Member   Joined: Sep 2007 From: USA Posts: 349 Thanks: 67 Math Focus: Calculus What I would do is multiply the numerator and the denominator by (x+1)(x-1), which would eliminate the fractions in the denominator. Then you can simplify the numerator. October 1st, 2007, 03:15 PM #5 Newbie   Joined: Oct 2007 Posts: 3 Thanks: 0 i still dont understand how you can just multiply both denominator and numerator. both the numerator and denominator are fractions, so i dont understand how the process works. October 1st, 2007, 03:32 PM #6 Senior Member   Joined: Sep 2007 From: USA Posts: 349 Thanks: 67 Math Focus: Calculus Doing this is multiplying by 1, because (x+1)(x-1)/[(x+1)(x-1)]=1. For the numerator, you distribute (x+1)(x-1) across the terms. You do the same for the denominator. [3/x + 1/(x(x+1))](x+1)(x-1) ----------------------------------- [1/(x+1) - 1/(x-1)](x+1)(x-1) 3(x+1)(x-1)/x + (x-1)/x ------------------------------- (x-1) - (x+1) (3x^2+x-4) ---------------- -2x (3x+4)(x-1) -------------- -2x Tags easy, question, stumped Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post rebell1on Algebra 3 February 8th, 2013 04:07 PM perla Algebra 2 August 27th, 2011 12:43 PM studentx Abstract Algebra 2 December 8th, 2010 04:13 AM football Algebra 1 April 11th, 2010 03:51 AM wannabe1 Advanced Statistics 4 March 21st, 2010 03:41 PM

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