Question
Answer
$$\dfrac{9r-2}{9r^2-2r}=\dfrac{1}{r}$$
Explanation
| $$ \begin{aligned}\frac{9r-2}{9r^2-2r}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{1}{r}\end{aligned} $$ | |
| ① | Simplify $ \dfrac{9r-2}{9r^2-2r} $ to $ \dfrac{1}{r} $. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{9r-2}$. $$ \begin{aligned} \frac{9r-2}{9r^2-2r} & =\frac{ 1 \cdot \color{blue}{ \left( 9r-2 \right) }}{ r \cdot \color{blue}{ \left( 9r-2 \right) }} = \\[1ex] &= \frac{1}{r} \end{aligned} $$ |
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Simplify Rational Expressions