Question
Answer
$$\dfrac{25v^3-36v}{5v-6}=5v^2+6v$$
Explanation
| $$ \begin{aligned}\frac{25v^3-36v}{5v-6}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5v^2+6v\end{aligned} $$ | |
| ① | Simplify $ \dfrac{25v^3-36v}{5v-6} $ to $ 5v^2+6v$. Factor both the denominator and the numerator, then cancel the common factor. $\color{blue}{5v-6}$. $$ \begin{aligned} \frac{25v^3-36v}{5v-6} & =\frac{ \left( 5v^2+6v \right) \cdot \color{blue}{ \left( 5v-6 \right) }}{ 1 \cdot \color{blue}{ \left( 5v-6 \right) }} = \\[1ex] &= \frac{5v^2+6v}{1} =5v^2+6v \end{aligned} $$ |
This page was created using
Simplify Rational Expressions