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Math Help - Express as the product of four factors

  1. #1
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    Express as the product of four factors

    Hi,

    Am I correct?
    Express as the product of four factors.
    a - b
    =(a - b)(a⁵ + a⁴b + ab + ab + ab⁴ + b)

    Express as the product of three factors.
    a - b
    =(a - b)(a + ab + ab + b)
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  2. #2
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    Quote Originally Posted by Hellbent View Post
    Hi,

    Am I correct?
    Express as the product of four factors.
    a - b
    =(a - b)(a⁵ + a⁴b + ab + ab + ab⁴ + b)

    Express as the product of three factors.
    a - b
    =(a - b)(a + ab + ab + b)
    Your algebra is good- it's your counting you need to work on! You don't have "four" and "three" factors.

    As I believe I told you on a different forum, think of (x^6- y^6) as (x^3)^2- (y^3)^2 and factor as the "difference of two squares", (x^3+ y^3)(x^3-y^3). Since those are both odd powers, each will factor as you have above.

    Think of x^4- y^4 as (x^2)^2- (y^2)^2. Again, you can factor that as the "difference of two square": (x^2-y^2)(x^2+y^2). Now, you can factor x^2-y^2 again but since you have an even power now, you cannot factor [tex]x^2+y^2[tex] further.
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  3. #3
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    Thanks!
    I got it now.
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