Results 1 to 6 of 6

Math Help - Binomial Factoring

  1. #1
    Junior Member
    Joined
    Mar 2008
    Posts
    54

    Binomial Factoring

    (x - y)^2 - 4(x - y) + 3

    I need some help with these kinds of binomials. I can never seem to get it right. I tried:

    (x - y)^2 - 4(x - y) + 3

    [(x - y)^2 - 4(x - y)] + 3<br />
=(x - y) [(x - y) - 4] - 3

    After that I don't know what to do, or I could have done it wrong already. Could anyone help please?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Hello,

    Quote Originally Posted by lax600 View Post
    (x - y)^2 - 4(x - y) + 3

    I need some help with these kinds of binomials. I can never seem to get it right. I tried:

    (x - y)^2 - 4(x - y) + 3

    [(x - y)^2 - 4(x - y)] + 3<br />
=(x - y) [(x - y) - 4] - 3

    After that I don't know what to do, or I could have done it wrong already. Could anyone help please?
    Let z=(x-y)

    So you want to factorise z^2-4z+3=(z-3)(z-1)

    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,616
    Thanks
    1579
    Awards
    1
    Can you factor w^2  - 4w + 3?
    w = \left( {x - y} \right)\quad  \Rightarrow \quad \left( {x - y - 1} \right)\left( {x - y - 3} \right)<br />
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Mar 2008
    Posts
    54
    huh... wait wheres the z coming from?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Quote Originally Posted by lax600 View Post
    huh... wait wheres the z coming from?
    Redefining the variable

    It's easier to see the factorisation of zē-4z+3 than the original one.

    After factorising, substitute back z by x-y
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member
    Joined
    Mar 2008
    Posts
    54
    alright thx
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: July 15th 2010, 05:33 AM
  2. Replies: 2
    Last Post: March 16th 2010, 01:38 PM
  3. Replies: 2
    Last Post: August 22nd 2009, 10:57 AM
  4. Binomial and Trinomial factoring
    Posted in the Algebra Forum
    Replies: 5
    Last Post: February 15th 2009, 06:38 PM
  5. Replies: 3
    Last Post: November 5th 2006, 11:02 PM

Search Tags


/mathhelpforum @mathhelpforum