Use the distributive property.

Multiply $36$ by $ \dfrac{x^4}{9} $ to get $ \dfrac{ 36x^4 }{ 9 } $.

Step 1: Write $ 36 $ as a fraction by putting $ \color{red}{1} $ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

$$ \begin{aligned} 36 \cdot \frac{x^4}{9} & \xlongequal{\text{Step 1}} \frac{36}{\color{red}{1}} \cdot \frac{x^4}{9} \xlongequal{\text{Step 2}} \frac{ 36 \cdot x^4 }{ 1 \cdot 9 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 36x^4 }{ 9 } \end{aligned} $$

Subtract $ \dfrac{36x^4}{9} $ from $ 63 $ to get $ \dfrac{ \color{purple}{ -36x^4+567 } }{ 9 }$.

Step 1: Write $ 63 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: To subtract raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the first fraction by $\color{blue}{ 9 }$.

$$ \begin{aligned} 63- \frac{36x^4}{9} & \xlongequal{\text{Step 1}} \frac{63}{\color{red}{1}} - \frac{36x^4}{9} = \frac{ 63 \cdot \color{blue}{ 9 }}{ 1 \cdot \color{blue}{ 9 }} - \frac{ 36x^4 }{ 9 } = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ 567 } }{ 9 } - \frac{ \color{purple}{ 36x^4 } }{ 9 }=\frac{ \color{purple}{ -36x^4+567 } }{ 9 } \end{aligned} $$

Multiply $ \dfrac{-36x^4+567}{9} $ by $ x^5 $ to get $ \dfrac{ -36x^9+567x^5 }{ 9 } $.

Step 1: Write $ x^5 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

$$ \begin{aligned} \frac{-36x^4+567}{9} \cdot x^5 & \xlongequal{\text{Step 1}} \frac{-36x^4+567}{9} \cdot \frac{x^5}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ \left( -36x^4+567 \right) \cdot x^5 }{ 9 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ -36x^9+567x^5 }{ 9 } \end{aligned} $$

Subtract $9x^3$ from $ \dfrac{-36x^9+567x^5}{9} $ to get $ \dfrac{ \color{purple}{ -36x^9+567x^5-81x^3 } }{ 9 }$.

Step 1: Write $ 9x^3 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: To subtract raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the second fraction by $\color{blue}{9}$.

$$ \begin{aligned} \frac{-36x^9+567x^5}{9} -9x^3 & \xlongequal{\text{Step 1}} \frac{-36x^9+567x^5}{9} - \frac{9x^3}{\color{red}{1}} = \frac{ -36x^9+567x^5 }{ 9 } - \frac{ 9x^3 \cdot \color{blue}{ 9 }}{ 1 \cdot \color{blue}{ 9 }} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ -36x^9+567x^5 } }{ 9 } - \frac{ \color{purple}{ 81x^3 } }{ 9 }=\frac{ \color{purple}{ -36x^9+567x^5-81x^3 } }{ 9 } \end{aligned} $$