Question
Answer
$$\dfrac{6x-24}{x-4}=6$$
Explanation
| $$ \begin{aligned}\frac{6x-24}{x-4}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6\end{aligned} $$ | |
| ① | Simplify $ \dfrac{6x-24}{x-4} $ to $ 6$. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{x-4}$. $$ \begin{aligned} \frac{6x-24}{x-4} & =\frac{ 6 \cdot \color{blue}{ \left( x-4 \right) }}{ 1 \cdot \color{blue}{ \left( x-4 \right) }} = \\[1ex] &= \frac{6}{1} =6 \end{aligned} $$ |
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Simplify Rational Expressions