Elementary Symmetric Polynomial

$(A+X\_1)\; (A+X\_2)(A+X\_3)=\; A^3+\; (X\_1\; +\; X\_2\; +\; X\_3)A^2+(X\_1\; X\_2\; +\; X\_2\; X\_3\; +\; X\_1\; X\_3)A+X\_1\; X\_2\; X\_3.$

$X\_1\; +\; X\_2\; +\; X\_3,\; \backslash \; X\_1\; X\_2\; +\; X\_2\; X\_3\; +\; X\_1\; X\_3,\; \backslash \; X\_1\; X\_2\; X\_3$

$(A+X\_1)(A+X\_2)\backslash cdots(A+X\_n)=\; A^n+\; (X\_1\; +\; X\_2\; +\backslash cdots+\; X\_n)A^\{n-1\}+\backslash cdots+X\_1\; X\_2\backslash cdots\; X\_n$

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