anonymous
  • anonymous
Simplify the expression 3/(x+2) - 1/(3-x) - (2x-1)/(x^2-x-6)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
somehow I got the answer 2(x-4) over (x^2 +x +6)
anonymous
  • anonymous
I got it by setting the three terms with a common denominator using the LCD I figured the LCD to be -(x-3)(x+2)
anonymous
  • anonymous
what do you guys think?

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inkyvoyd
  • inkyvoyd
That should be right.
anonymous
  • anonymous
well I'm debating myself cuz my friend thinks otherwise. She says she keeps getting the answer: 2/x+2
experimentX
  • experimentX
2/(x + 2) http://www.wolframalpha.com/input/?i=simplify+3%2F%28x%2B2%29+-+1%2F%283-x%29+-+%282x-1%29%2F%28x%5E2-x-6%29
anonymous
  • anonymous
could you explain why it is 2/(x+2) ? I am confused...what did I do wrong?
Callisto
  • Callisto
3/(x+2) - 1/(3-x) - (2x-1)/(x^2-x-6) = 3/(x+2) + 1/(x-3) - (2x-1)/[(x-3)(x+2)] = [3(x-3)]/[(x-3)(x+2)] + 1(x+2)/[(x-3)(x+2)] -(2x-1)/[(x-3)(x+2)] = [(3x-9) + (x+2) - (2x-1)] / [(x-3)(x+2)] = (2x -6) /[(x-3)(x+2)] = 2(x-3) /[(x-3)(x+2)] = 2/(x+2)
Callisto
  • Callisto
you didn't show your work, how can we know what you did wrong ? :S
anonymous
  • anonymous
^ you have a point Callisto :P

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