Question
Answer
$$\dfrac{y^2+7y-18}{y^2+12y+27}=\dfrac{y-2}{y+3}$$
Explanation
| $$ \begin{aligned}\frac{y^2+7y-18}{y^2+12y+27}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{y-2}{y+3}\end{aligned} $$ | |
| ① | Simplify $ \dfrac{y^2+7y-18}{y^2+12y+27} $ to $ \dfrac{y-2}{y+3} $. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{y+9}$. $$ \begin{aligned} \frac{y^2+7y-18}{y^2+12y+27} & =\frac{ \left( y-2 \right) \cdot \color{blue}{ \left( y+9 \right) }}{ \left( y+3 \right) \cdot \color{blue}{ \left( y+9 \right) }} = \\[1ex] &= \frac{y-2}{y+3} \end{aligned} $$ |
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Simplify Rational Expressions