factorize

**dhiab** · Aug 31st 2009, 08:01 PM

Factorize the fllowing expressions :

$\begin{array}{l} \alpha = \left( {a + b} \right)\left( {b + c} \right)\left( {a + c} \right) + abc \\ \beta = \left( {a - b} \right)^3 + \left( {b - c} \right)^3 + \left( {c - a} \right)^3 \\ \end{array} $

**ynj** · Aug 31st 2009, 08:34 PM

Originally Posted by dhiab

Factorize the fllowing expressions :

$\begin{array}{l} \alpha = \left( {a + b} \right)\left( {b + c} \right)\left( {a + c} \right) + abc \\ \beta = \left( {a - b} \right)^3 + \left( {b - c} \right)^3 + \left( {c - a} \right)^3 \\ \end{array} $

(a+b+c)(ab+ac+bc)
3(a-b)(a-c)(c-b)

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