Results 1 to 2 of 2

Math Help - Two quick factoring questions?

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    4

    Two quick factoring questions?

    Stars are to organize, I am very new here.

    How do I simplify:

    2y-1***1-4y^2
    ------ / ---------
    2******4


    How do I solve:

    4*****5****3x
    --- = ----- + ----
    x-1***2x-2***4
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member Danshader's Avatar
    Joined
    Mar 2008
    From
    http://en.wikipedia.org/wiki/Malaysia now stop asking me where is malaysia...
    Posts
    158
    question 1:

    [ (2y-1)/2 ] / [ (1-4y^2)/4 ]


    well you can see that,
    1-4y^2
    = 1^2 - (2y)^2
    = (1 - 2y)(1 + 2y) =====> (x - a)(x + a) = x^2 - a^2

    substituting back to the main question

    [ (2y-1)/2 ] / [ (1-2y)(1+2y)/4 ]
    = [ (2y-1)/2 ] / [ (-1)(2y-1)(1+2y)/4 ]
    = [ 4.(2y-1)/2 ] / [ (-1)(2y-1)(1+2y) ] =====> cancel out the (2y-1) term on the numerator and denominator
    = 2 / [ (-1)(1+2y) ]
    = -2 / (1+2y)


    Question 2:

    4/(x-1) = 5/(2x-2) + 3x/4
    4/(x-1) = 5/2(x-1) + 3x/4 ======> remove the 2 from (2x-2)
    4/(x-1) = (5/2)/(x-1) + 3x/4
    (4-5/2) / (x-1) = 3x/4
    (3/2) / (x-1) = 3x/4
    4(3/2) = (x-1)(3x)
    6 = 3x^2 - 3x
    3x^2 - 3x - 6 = 0 ======> rearranging
    3( x^2 - x - 2) = 0
    x^2 - x - 2 = 0
    (x-2)(x+1) = 0 ========> factorize the 2nd order ODE
    x-2 = 0, x+1 = 0
    x=2, x= -1
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Some quick help with factoring
    Posted in the Algebra Forum
    Replies: 3
    Last Post: February 24th 2011, 02:51 AM
  2. real quick question about factoring
    Posted in the Algebra Forum
    Replies: 4
    Last Post: October 29th 2010, 06:01 PM
  3. quick question factoring quad trinomials.
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 5th 2010, 10:12 AM
  4. Quick Factoring Help
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 5th 2010, 05:40 PM
  5. Quick factoring question...
    Posted in the Algebra Forum
    Replies: 2
    Last Post: January 13th 2009, 10:37 AM

Search Tags


/mathhelpforum @mathhelpforum