Question
Answer
$$\dfrac{a-12}{a^2-144}=\dfrac{1}{a+12}$$
Explanation
| $$ \begin{aligned}\frac{a-12}{a^2-144}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{1}{a+12}\end{aligned} $$ | |
| ① | Simplify $ \dfrac{a-12}{a^2-144} $ to $ \dfrac{1}{a+12} $. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{a-12}$. $$ \begin{aligned} \frac{a-12}{a^2-144} & =\frac{ 1 \cdot \color{blue}{ \left( a-12 \right) }}{ \left( a+12 \right) \cdot \color{blue}{ \left( a-12 \right) }} = \\[1ex] &= \frac{1}{a+12} \end{aligned} $$ |
This page was created using
Simplify Rational Expressions