Question
Answer
$$\dfrac{y^2-19y+34}{y-17}=y-2$$
Explanation
| $$ \begin{aligned}\frac{y^2-19y+34}{y-17}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}y-2\end{aligned} $$ | |
| ① | Simplify $ \dfrac{y^2-19y+34}{y-17} $ to $ y-2$. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{y-17}$. $$ \begin{aligned} \frac{y^2-19y+34}{y-17} & =\frac{ \left( y-2 \right) \cdot \color{blue}{ \left( y-17 \right) }}{ 1 \cdot \color{blue}{ \left( y-17 \right) }} = \\[1ex] &= \frac{y-2}{1} =y-2 \end{aligned} $$ |
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Simplify Rational Expressions