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