Question
Answer
$$-70\cdot\dfrac{x^2}{28}x=\dfrac{70x^3}{28}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-70 \cdot \frac{x^2}{28}x& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{70x^2}{28}x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{70x^3}{28}\end{aligned} $$ | |
| ① | Multiply $70$ by $ \dfrac{x^2}{28} $ to get $ \dfrac{ 70x^2 }{ 28 } $. Step 1: Write $ 70 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 70 \cdot \frac{x^2}{28} & \xlongequal{\text{Step 1}} \frac{70}{\color{red}{1}} \cdot \frac{x^2}{28} \xlongequal{\text{Step 2}} \frac{ 70 \cdot x^2 }{ 1 \cdot 28 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 70x^2 }{ 28 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{70x^2}{28} $ by $ x $ to get $ \dfrac{ 70x^3 }{ 28 } $. Step 1: Write $ x $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{70x^2}{28} \cdot x & \xlongequal{\text{Step 1}} \frac{70x^2}{28} \cdot \frac{x}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 70x^2 \cdot x }{ 28 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 70x^3 }{ 28 } \end{aligned} $$ |
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