Results 1 to 5 of 5

Math Help - Can somebody complete these task?

  1. #1
    Newbie
    Joined
    Dec 2010
    From
    Europe
    Posts
    5

    Can somebody complete these task?

    Shorten the rational expressions as possible.

    a) \frac{x^{2}+4x+4}{x^{2}-4}

    b) \frac{x^{2}+x-6}{x^{2}-2x}*\frac{6x}{2x^{2}-18}

    I need full calculation with these task and the answer must be in order and complete.

    The answer:

    a) \frac{x+2}{x-2}

    b) \frac{3}{x-3}

    Warning the blueprint may be wrong.

    Than you for your help.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by Antalya View Post
    Shorten the rational expressions as possible.

    a) \frac{x^{2}+4x+4}{x^{2}-4}
    ...
    I need full calculation with these task and the answer must be in order and complete.

    ...
    1. Factor the numerator and the denominator of this quotient.

    2. Cancel equal terms.

    3. The numerator is a complete square and the denominator is a difference of squares which can be factored easily.

    4. The given answer is correct.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Dec 2010
    From
    Europe
    Posts
    5
    The problem that is i don't know how to do the task. It is impossible for me to do those because I have low skill in math and I would be very happy if you or someone else could do those?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,747
    Thanks
    648
    Hello, Antalya!


    You've never reduced a fraction before . . . ever?

    Factor all expressions, then reduce (cancel) as much as possible.



    \text{(a) Simplify: }\:\dfrac{x^2+4x+4}{x^2-4}

    \displaystyle \text{Factor: }\:\frac{(x+2)(x+2)}{(x-2)(x+2)}

    \displaystyle \text{Reduce: }\;\frac{(x+2)(\rlap{/////}x+2)}{(x-2)(\rlap{/////}x+2)} \;=\;\frac{x+2}{x-2}




    \text{(b) Simplify: }\:\dfrac{x^2+x-6}{x^2-2x}\cdot \dfrac{6x}{2x^2-18}

    \displaystyle\text{Factor: }\;\frac{(x-2)(x+3)}{x(x-2)} \cdot \frac{6x}{2(x-3)(x+3)}


    \displaystyle \text{Reduce: }\;\frac{(\rlap{/////}x-2)(\rlap{/////}x+3)}{x(\rlap{/////}x-2)} \cdot\frac{6x}{2(x-3)(\rlap{/////}x+3)}

    . . . . . . . \displaystyle =\;\frac{1}{\rlap{/}x} \cdot \frac{\rlap{/}6^{^3}\rlap{/}x}{\rlap{/}2(x-3)} \;=\; \frac{3}{x-3}

    Follow Math Help Forum on Facebook and Google+

  5. #5
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Antalya View Post
    The problem that is i don't know how to do the task. It is impossible for me to do those because I have low skill in math and I would be very happy if you or someone else could do those?
    Then you need to ask for extra help from your teacher. Giving you the complete solutions to these questions will not change your "low skill in math", extra help from your teacher might.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Matlab task
    Posted in the Math Software Forum
    Replies: 10
    Last Post: June 14th 2011, 09:36 PM
  2. Can somebody complete these task?
    Posted in the Algebra Forum
    Replies: 5
    Last Post: December 8th 2010, 11:34 AM
  3. Application Task
    Posted in the Calculus Forum
    Replies: 2
    Last Post: June 18th 2010, 08:09 AM
  4. Modelling Task
    Posted in the Math Topics Forum
    Replies: 5
    Last Post: December 28th 2009, 04:46 PM
  5. hard task
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: September 26th 2005, 07:50 AM

Search Tags


/mathhelpforum @mathhelpforum