a. \( \frac{x^{2}-4 x+3}{6} \cdot \frac{2}{x-1} \)

Calculate or simplify the expression \( (x^{2}-4x+3)/6 * 2/(x-1) \). Simplify the expression by following steps: - step0: Solution: \(\frac{\frac{\left(x^{2}-4x+3\right)}{6}\times 2}{\left(x-1\right)}\) - step1: Remove the parentheses: \(\frac{\frac{x^{2}-4x+3}{6}\times 2}{x-1}\) - step2: Reduce the fraction: \(\frac{\frac{x^{2}-4x+3}{3}}{x-1}\) - step3: Multiply by the reciprocal: \(\frac{x^{2}-4x+3}{3}\times \frac{1}{x-1}\) - step4: Rewrite the expression: \(\frac{\left(x-1\right)\left(x-3\right)}{3}\times \frac{1}{x-1}\) - step5: Reduce the fraction: \(\frac{x-3}{3}\) La simplification de l'expression donnée est \( \frac{x-3}{3} \).