Question
Answer
$$28390\cdot\dfrac{x-14}{x^2+9}=\dfrac{28390x-397460}{x^2+9}$$
Explanation
| $$ \begin{aligned}28390 \cdot \frac{x-14}{x^2+9}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{28390x-397460}{x^2+9}\end{aligned} $$ | |
| ① | Multiply $28390$ by $ \dfrac{x-14}{x^2+9} $ to get $ \dfrac{ 28390x-397460 }{ x^2+9 } $. Step 1: Write $ 28390 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 28390 \cdot \frac{x-14}{x^2+9} & \xlongequal{\text{Step 1}} \frac{28390}{\color{red}{1}} \cdot \frac{x-14}{x^2+9} \xlongequal{\text{Step 2}} \frac{ 28390 \cdot \left( x-14 \right) }{ 1 \cdot \left( x^2+9 \right) } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 28390x-397460 }{ x^2+9 } \end{aligned} $$ |
This page was created using
Simplify Rational Expressions