Results 1 to 5 of 5

Math Help - factoring help

  1. #1
    Newbie
    Joined
    Jan 2008
    Posts
    12

    factoring help

    Hello people! I need help with two math problems. They ask me to factor: 25a to the fourth - 14a squared b to the fourth + b to the eigth.

    factor: 3a to the fourth + 48b to the fourth - 36a squared b squared.

    I cannot figure out either one. With the first I need a number squared that equals 24, which is impossible of course, and the second I figured out I need a number squared that equals 20 which is also impossible (I figured that out with my own made-up equation.) Will someone show me how to solve these problems? I have tryed ever thing I can think of. Thank-you.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Mathstud28's Avatar
    Joined
    Mar 2008
    From
    Pennsylvania
    Posts
    3,641
    Quote Originally Posted by jesuslover View Post
    Hello people! I need help with two math problems. They ask me to factor: 25a to the fourth - 14a squared b to the fourth + b to the eigth.

    factor: 3a to the fourth + 48b to the fourth - 36a squared b squared.

    I cannot figure out either one. With the first I need a number squared that equals 24, which is impossible of course, and the second I figured out I need a number squared that equals 20 which is also impossible (I figured that out with my own made-up equation.) Will someone show me how to solve these problems? I have tryed ever thing I can think of. Thank-you.
    25a^4-14a^2b^4

    Factor out a^2 to get a^2(25a^2-14b^4)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie sabyasachi's Avatar
    Joined
    Apr 2008
    Posts
    22
    HI! HERE ARE THE SOLUTIONS:
    1> 25a to the fourth - 14 a squared b to the fourth + b to the eight
    = 25 a to the fourth - 10 a squared b to the fourth + b to the eight -
    4 a squared b to the fourth
    = square of (5 a squared -b to the fourth) - square of (2ab squared )
    = ( 5 a2 + 2ab2 - b4)(5a2 - 2ab2 - b4)
    2> 3a4 + 48b4 - 36a2b2
    = 3(a4 - 12a2b2 + 16b4)
    = 3 { a4 -8a2b2 + 16b4 - 4a2b2}
    = 3 { ( a2-4b2)2 - (2ab)2
    = 3 { (a2 -2ab -4b2)(a2 +2ab - 4b2)
    = 3 (a2-2ab -4b2)(a2 + 2ab - 4b2)

    got it!!!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jan 2008
    Posts
    12
    Hi! Thank-you for your help, but I decided to give it one last try last night and was able to figure it out. I'm sorry I bothered you guys. I really was stuck at the time. I need to learn to look back at the book when I'm stuck. or at least more closely. I'm sorry.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Bar0n janvdl's Avatar
    Joined
    Apr 2007
    From
    Meh
    Posts
    1,630
    Thanks
    6
    Quote Originally Posted by jesuslover View Post
    Hi! Thank-you for your help, but I decided to give it one last try last night and was able to figure it out. I'm sorry I bothered you guys. I really was stuck at the time. I need to learn to look back at the book when I'm stuck. or at least more closely. I'm sorry.
    No problem... We are here to help and for someone as nice as you, we are more than happy to help again
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. need help with factoring
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 7th 2010, 11:47 AM
  2. factoring help
    Posted in the Algebra Forum
    Replies: 2
    Last Post: February 4th 2010, 08:44 PM
  3. Is this factoring or something?
    Posted in the Algebra Forum
    Replies: 4
    Last Post: February 1st 2010, 07:54 PM
  4. Replies: 2
    Last Post: August 22nd 2009, 11:57 AM
  5. Replies: 3
    Last Post: November 6th 2006, 12:02 AM

Search Tags


/mathhelpforum @mathhelpforum