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Math Help - Factorisation

  1. #1
    Junior Member
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    Factorisation

    How would you factorise this example:

    (x^2 - a^2)(x+b) - (x^2-b^2)(x+a)

    Please help. Thanks
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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, haku!

    Factor: . (x^2 - a^2)(x+b) - (x^2-b^2)(x+a)

    Keep factoring: . (x-a)\underbrace{(x+a)(x+b)} - (x-b)\underbrace{(x+b)(x+a)}
    . . . . . . . . . . . . . . . . . . . . \nwarrow
    . common factors . \nearrow

    . . = \;(x+a)(x+b)\,[(x-a) - (x-b)]

    . . = \;(x+a)(x+b)(b-a)

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  3. #3
    Junior Member
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    Thanks again for your help!
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