SOLUTION: made a typo it should have been x+2 on the last portion of the problem. So sorry.... simplfy x/2x-3 - 1/x+2

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Question 221300: made a typo it should have been x+2 on the last portion of the problem. So sorry....

simplfy
x/2x-3 - 1/x+2
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
made a typo it should have been x+2 on the last portion of the problem. So sorry....

simplfy

x%2F%282x-3%29+-+1%2F%28x%2B2%29

Step 1. Multiply (x+2)/(x+2) to first term and (2x-3)/(2x-3) to second term to put both terms in a common denominator (You're really multiplying by 1 for each term so you don't change the overall expression for each term)

%28x%2B2%29%2F%28x%2B2%29%2Ax%2F%282x-3%29+-+%282x-3%29%2F%282x-3%29%2A1%2F%28x%2B2%29

%28x%28x%2B2%29-%282x-3%29%29%2F%28x%2B2%29%282x-3%29

%28x%5E2%2B2x-2x%2B3%29%2F%28x%2B2%29%282x-3%29

%28x%5E2%2B3%29%2F%28x%2B2%29%282x-3%29

Step 2. Multiply out the denominator using the FOIL method

%28x%5E2%2B3%29%2F%28x%5E2-3x%2B4x-6%29

%28x%5E2%2B3%29%2F%28x%5E2%2Bx-6%29

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J