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Math Help - Intermediate Algebra - Factoring #2

  1. #1
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    Question Intermediate Algebra - Factoring #2

    Hello, please look at the picture below.
    I don't know where that 3 went... Please tell me?
    Also the next problem that starts from 4(3-....
    the three goes missing again. Could you tell me how it works??

    Thank you!

    Last edited by mr fantastic; February 1st 2010 at 12:04 AM. Reason: Edited post title
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  2. #2
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    5(2- x)+ 2(2- x)^3

    To see exactly what is going on, replace those "(2- x)" terms by the single letter, a. That is 5a- 2a^3= (5)a- (2a^2)a and since there is an " a^2" in each term we can factor it out: a^2(5- 2a).

    Now put (2-x) back in place of each "a": 5(2- x)^2- 2(2- x)^3= (2-x)^2(5- (2- x))
    Last edited by HallsofIvy; February 1st 2010 at 02:30 AM.
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  3. #3
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    Smile

    Thanks! I think I got the concept now. I need more practice though.
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