Answer
$$\frac{x^2+12x+36}{x^2-36}=\frac{x+6}{x-6}$$
Explanation
| $$ \begin{aligned}\frac{x^2+12x+36}{x^2-36}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{x+6}{x-6}\end{aligned} $$ | |
| ① | Simplify $ \dfrac{x^2+12x+36}{x^2-36} $ to $ \dfrac{x+6}{x-6} $. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{x+6}$. $$ \begin{aligned} \frac{x^2+12x+36}{x^2-36} & =\frac{ \left( x+6 \right) \cdot \color{blue}{ \left( x+6 \right) }}{ \left( x-6 \right) \cdot \color{blue}{ \left( x+6 \right) }} = \\[1ex] &= \frac{x+6}{x-6} \end{aligned} $$ |
This page was created using
Simplify polynomials calculator