Question
Answer
$$4\cdot\dfrac{x^3}{x-4}=\dfrac{4x^3}{x-4}$$
Explanation
| $$ \begin{aligned}4 \cdot \frac{x^3}{x-4}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{4x^3}{x-4}\end{aligned} $$ | |
| ① | Multiply $4$ by $ \dfrac{x^3}{x-4} $ to get $ \dfrac{ 4x^3 }{ x-4 } $. Step 1: Write $ 4 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 4 \cdot \frac{x^3}{x-4} & \xlongequal{\text{Step 1}} \frac{4}{\color{red}{1}} \cdot \frac{x^3}{x-4} \xlongequal{\text{Step 2}} \frac{ 4 \cdot x^3 }{ 1 \cdot \left( x-4 \right) } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 4x^3 }{ x-4 } \end{aligned} $$ |
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Simplify Rational Expressions