Question
Answer
$$x^3+2x^2-9x-\dfrac{18}{2}x^3+6x^2=-8x^3+8x^2-9x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}x^3+2x^2-9x-\frac{18}{2}x^3+6x^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}x^3+2x^2-9x - \frac{ 18 : \color{orangered}{ 2 } }{ 2 : \color{orangered}{ 2 }} \cdot x^3 + 6x^2 \xlongequal{ } \\[1 em] & \xlongequal{ }x^3+2x^2-9x-\frac{9}{1}x^3+6x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}x^3+2x^2-9x-9x^3+6x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-8x^3+8x^2-9x\end{aligned} $$ | |
| ① | Divide both the top and bottom numbers by $ \color{orangered}{ 2 } $. |
| ② | Remove 1 from denominator. |
| ③ | Combine like terms: $$ \color{blue}{x^3} + \color{red}{2x^2} -9x \color{blue}{-9x^3} + \color{red}{6x^2} = \color{blue}{-8x^3} + \color{red}{8x^2} -9x $$ |
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Simplify Rational Expressions