Simplify $$ \frac{3^{2 x}-3^{x}-6}{3^{x}-3} $$

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Calculate or simplify the expression $$ (3^(2*x)-3^(x)-6)/(3^(x)-3) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{\left(3^{2x}-3^{x}-6ight)}{\left(3^{x}-3ight)}$$
- step1: Remove the parentheses:
  $$\frac{3^{2x}-3^{x}-6}{3^{x}-3}$$
- step2: Calculate:
  $$\frac{\left(3^{2x-1}-3^{x-1}-2ight)	imes 3}{\left(3^{x-1}-1ight)	imes 3}$$
- step3: Reduce the fraction:
  $$\frac{3^{2x-1}-3^{x-1}-2}{3^{x-1}-1}$$
The simplified form of the expression $$ \frac{3^{2x}-3^{x}-6}{3^{x}-3} $$ is $$ \frac{3^{2x-1}-3^{x-1}-2}{3^{x-1}-1} $$.
The simplified form of the expression is $$ \frac{3^{2x-1}-3^{x-1}-2}{3^{x-1}-1} $$.

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