(f) $$ \frac{3 r-q s+3 s-q r}{9+q^{2}-6 q} $$

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Calculate or simplify the expression $$ (3r-q*s+3*s-q*r)/(9+q^2-6*q) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{\left(3r-qs+3s-qr\right)}{\left(9+q^{2}-6q\right)}$$
- step1: Remove the parentheses:
  $$\frac{3r-qs+3s-qr}{9+q^{2}-6q}$$
- step2: Factor the expression:
  $$\frac{\left(q-3\right)\left(-r-s\right)}{\left(q-3\right)^{2}}$$
- step3: Reduce the fraction:
  $$\frac{-r-s}{q-3}$$
- step4: Calculate:
  $$-\frac{r+s}{q-3}$$
The simplified form of the expression $$ \frac{3r-q s+3 s-q r}{9+q^{2}-6 q} $$ is $$ -\frac{r+s}{q-3} $$.
The simplified form is $$ -\frac{r+s}{q-3} $$.

(f) \( \frac{3 r-q s+3 s-q r}{9+q^{2}-6 q} \)

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