Question
Answer
$$-5r\cdot2(2r\cdot12-9)=-240r^2+90r$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-5r\cdot2(2r\cdot12-9)& \xlongequal{ }-10r(24r-9) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-(240r^2-90r) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-240r^2+90r\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{10r} $ by $ \left( 24r-9\right) $ $$ \color{blue}{10r} \cdot \left( 24r-9\right) = 240r^2-90r $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left(240r^2-90r \right) = -240r^2+90r $$ |
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Simplify Rational Expressions