Thread: factorize

Factorize the fllowing expressions :

$\displaystyle \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}
$

Originally Posted by dhiab

Factorize the fllowing expressions :

$\displaystyle \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)