Question
Answer
$$\dfrac{18x^3y(x-1)}{12x\cdot(1-x)}=\dfrac{3x^3y-3x^2y}{2-2x}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{18x^3y(x-1)}{12x\cdot(1-x)}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{18x^4y-18x^3y}{12x-12x^2} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{3x^3y-3x^2y}{2-2x}\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{18x^3y} $ by $ \left( x-1\right) $ $$ \color{blue}{18x^3y} \cdot \left( x-1\right) = 18x^4y-18x^3y $$ |
| ② | Multiply $ \color{blue}{12x} $ by $ \left( 1-x\right) $ $$ \color{blue}{12x} \cdot \left( 1-x\right) = 12x-12x^2 $$ |
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Simplify Rational Expressions