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