Question
Answer
$$20\cdot\dfrac{x^3}{5x+10}=\dfrac{20x^3}{5x+10}$$
Explanation
| $$ \begin{aligned}20 \cdot \frac{x^3}{5x+10}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{20x^3}{5x+10}\end{aligned} $$ | |
| ① | Multiply $20$ by $ \dfrac{x^3}{5x+10} $ to get $ \dfrac{ 20x^3 }{ 5x+10 } $. Step 1: Write $ 20 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 20 \cdot \frac{x^3}{5x+10} & \xlongequal{\text{Step 1}} \frac{20}{\color{red}{1}} \cdot \frac{x^3}{5x+10} \xlongequal{\text{Step 2}} \frac{ 20 \cdot x^3 }{ 1 \cdot \left( 5x+10 \right) } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 20x^3 }{ 5x+10 } \end{aligned} $$ |
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