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Math Help - Factoring Problem

  1. #1
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    Factoring Problem

    Hello, everybody.

    I am self-teaching myself elementary algebra since I never did that wonderful of a job of learning it in high school. I made it to factoring, where I finally learned how to do so generally well; however, I stumbled across a problem that I don't really know how to solve, though I do have the answer in the back which I consulted. Here is the equation to be factored:

    (x + h)^3 - x^3

    And here's the solution:

    h(3x^2 + 3xh + h^2)

    I would greatly appreciate if someone could break this problem down for me so I can see how this answer was obtained, because I can't figure it out and the book doesn't break it down anywhere; it's just another exercise at the end of the chapter. I appreciate it very much and I thank all of you for your time. :]

    Colton
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  2. #2
    MHF Contributor red_dog's Avatar
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    Medgidia, Romania
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    You can use the formula (a+b)^3=a^3+3a^2b+3ab^2+b^3
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  3. #3
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    Thank you red_dog. It never even occurred to me to do that. Now I feel partially foolish. haha
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