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Math Help - factorize

  1. #1
    Super Member dhiab's Avatar
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    factorize

    Factorize the fllowing expressions :

    \begin{array}{l}<br />
\alpha = \left( {a + b} \right)\left( {b + c} \right)\left( {a + c} \right) + abc \\ <br />
\beta = \left( {a - b} \right)^3 + \left( {b - c} \right)^3 + \left( {c - a} \right)^3 \\ <br />
\end{array}<br />
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  2. #2
    ynj
    ynj is offline
    Senior Member
    Joined
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    Quote Originally Posted by dhiab View Post
    Factorize the fllowing expressions :

    \begin{array}{l}<br />
\alpha = \left( {a + b} \right)\left( {b + c} \right)\left( {a + c} \right) + abc \\ <br />
\beta = \left( {a - b} \right)^3 + \left( {b - c} \right)^3 + \left( {c - a} \right)^3 \\ <br />
\end{array}<br />
    (a+b+c)(ab+ac+bc)
    3(a-b)(a-c)(c-b)
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