Question
Answer
$$\dfrac{5m-40}{m-8}=5$$
Explanation
| $$ \begin{aligned}\frac{5m-40}{m-8}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5\end{aligned} $$ | |
| ① | Simplify $ \dfrac{5m-40}{m-8} $ to $ 5$. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{m-8}$. $$ \begin{aligned} \frac{5m-40}{m-8} & =\frac{ 5 \cdot \color{blue}{ \left( m-8 \right) }}{ 1 \cdot \color{blue}{ \left( m-8 \right) }} = \\[1ex] &= \frac{5}{1} =5 \end{aligned} $$ |
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Simplify Rational Expressions