Question
Answer
$$\dfrac{6x+24}{x+4(x+3)}=\dfrac{6x+24}{5x+12}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{6x+24}{x+4(x+3)}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{6x+24}{x+4x+12} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{6x+24}{5x+12}\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{4} $ by $ \left( x+3\right) $ $$ \color{blue}{4} \cdot \left( x+3\right) = 4x+12 $$ |
| ② | Combine like terms: $$ \color{blue}{x} + \color{blue}{4x} +12 = \color{blue}{5x} +12 $$ |
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Simplify Rational Expressions