Results 1 to 4 of 4

Math Help - simply algeberic fraction

  1. #1
    Super Member
    Joined
    Sep 2008
    Posts
    616

    simply algeberic fraction

    express  \frac{x+1}{3x^{2}-3} - \frac{1}{3x+1}

    as a single fraction in its simplest form.

    I got  \frac{4x+4}{3x^{3} + 9x^{2} + 9x -3} but thats not the correct answer, can someone show me hot to get to  \frac{4}{3(x-1)(3x+1)}

    thank you.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2008
    From
    West Malaysia
    Posts
    1,261
    Quote Originally Posted by Tweety View Post
    express  \frac{x+1}{3x^{2}-3} - \frac{1}{3x+1}

    as a single fraction in its simplest form.

    I got  \frac{4x+4}{3x^{3} + 9x^{2} + 9x -3} but thats not the correct answer, can someone show me hot to get to  \frac{4}{3(x-1)(3x+1)}

    thank you.
    hi

    \frac{(x+1)(3x+1)-(3x^2-3)}{3(x^2-1)(3x+1)}

    \frac{3x^2+x+3x+1-3x^2+3}{3(x+1)(x-1)(3x+1)}

    \frac{4x+4}{3(x+1)(x-1)(3x+1)}

    what do u see in common for the numerator ?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Sep 2008
    Posts
    616
    Quote Originally Posted by mathaddict View Post
    hi

    \frac{(x+1)(3x+1)-(3x^2-3)}{3(x^2-1)(3x+1)}

    \frac{3x^2+x+3x+1-3x^2+3}{3(x+1)(x-1)(3x+1)}

    \frac{4x+4}{3(x+1)(x-1)(3x+1)}

    what do u see in common for the numerator ?
    Is that the correct answer? And is that the same as my answer but simplified?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Sep 2008
    From
    West Malaysia
    Posts
    1,261
    Quote Originally Posted by Tweety View Post
    Is that the correct answer? And is that the same as my answer but simplified?
    its not fully simplified , i left the last step for you , note that 4x+4=4(x+1)

    so when you cancel the x+1 , you will get the answer in your book
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Can I simply e^3x/e^2x ?
    Posted in the Algebra Forum
    Replies: 3
    Last Post: December 30th 2011, 07:29 AM
  2. [SOLVED] Simply ordered set
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: September 24th 2011, 12:09 PM
  3. Simply help.
    Posted in the Algebra Forum
    Replies: 3
    Last Post: August 31st 2009, 01:20 AM
  4. Replies: 2
    Last Post: May 7th 2009, 02:21 PM
  5. Simply complex
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: March 30th 2008, 05:25 PM

Search Tags


/mathhelpforum @mathhelpforum