Question
Answer
$$36\cdot\dfrac{x^3}{42x^2}=\dfrac{36x^3}{42x^2}$$
Explanation
| $$ \begin{aligned}36 \cdot \frac{x^3}{42x^2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{36x^3}{42x^2}\end{aligned} $$ | |
| ① | Multiply $36$ by $ \dfrac{x^3}{42x^2} $ to get $ \dfrac{ 36x^3 }{ 42x^2 } $. 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. $$ \begin{aligned} 36 \cdot \frac{x^3}{42x^2} & \xlongequal{\text{Step 1}} \frac{36}{\color{red}{1}} \cdot \frac{x^3}{42x^2} \xlongequal{\text{Step 2}} \frac{ 36 \cdot x^3 }{ 1 \cdot 42x^2 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 36x^3 }{ 42x^2 } \end{aligned} $$ |
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Simplify Rational Expressions