Multiply $ \dfrac{11}{60} $ by $ x+3 $ to get $ \dfrac{ 11x+33 }{ 60 } $.

Step 1: Write $ x+3 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

$$ \begin{aligned} \frac{11}{60} \cdot x+3 & \xlongequal{\text{Step 1}} \frac{11}{60} \cdot \frac{x+3}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 11 \cdot \left( x+3 \right) }{ 60 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 11x+33 }{ 60 } \end{aligned} $$

Multiply $ \dfrac{11x+33}{60} $ by $ x+2 $ to get $ \dfrac{11x^2+55x+66}{60} $.

Step 1: Write $ x+2 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

$$ \begin{aligned} \frac{11x+33}{60} \cdot x+2 & \xlongequal{\text{Step 1}} \frac{11x+33}{60} \cdot \frac{x+2}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ \left( 11x+33 \right) \cdot \left( x+2 \right) }{ 60 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 11x^2+22x+33x+66 }{ 60 } = \frac{11x^2+55x+66}{60} \end{aligned} $$

Multiply $ \dfrac{11x^2+55x+66}{60} $ by $ x-1 $ to get $ \dfrac{11x^3+44x^2+11x-66}{60} $.

Step 1: Write $ x-1 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

$$ \begin{aligned} \frac{11x^2+55x+66}{60} \cdot x-1 & \xlongequal{\text{Step 1}} \frac{11x^2+55x+66}{60} \cdot \frac{x-1}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ \left( 11x^2+55x+66 \right) \cdot \left( x-1 \right) }{ 60 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 11x^3-11x^2+55x^2-55x+66x-66 }{ 60 } = \frac{11x^3+44x^2+11x-66}{60} \end{aligned} $$