Question
Answer
$$\dfrac{y^2+10y+25}{y^2+11y+30}=\dfrac{y+5}{y+6}$$
Explanation
| $$ \begin{aligned}\frac{y^2+10y+25}{y^2+11y+30}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{y+5}{y+6}\end{aligned} $$ | |
| ① | Simplify $ \dfrac{y^2+10y+25}{y^2+11y+30} $ to $ \dfrac{y+5}{y+6} $. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{y+5}$. $$ \begin{aligned} \frac{y^2+10y+25}{y^2+11y+30} & =\frac{ \left( y+5 \right) \cdot \color{blue}{ \left( y+5 \right) }}{ \left( y+6 \right) \cdot \color{blue}{ \left( y+5 \right) }} = \\[1ex] &= \frac{y+5}{y+6} \end{aligned} $$ |
This page was created using
Simplify Rational Expressions