Question
Answer
$$15a\cdot2-a\cdot3b\cdot2-9b\cdot3-10a\cdot3b\cdot2-11a\cdot2-b\cdot2+25a=-66ab+33a-29b$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}15a\cdot2-a\cdot3b\cdot2-9b\cdot3-10a\cdot3b\cdot2-11a\cdot2-b\cdot2+25a& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}30a-6ab-27b-60ab-22a-2b+25a \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}30a-6ab-27b-60ab+3a-2b \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle6}{\textcircled {6}} } }}}-66ab+33a-29b\end{aligned} $$ | |
| ① | $$ 15 a \cdot 2 = 30 a $$ |
| ② | $$ a \cdot 3 b \cdot 2 = 6 a b $$ |
| ③ | $$ 9 b \cdot 3 = 27 b $$$$ 10 a \cdot 3 b \cdot 2 = 60 a b $$ |
| ④ | $$ 11 a \cdot 2 = 22 a $$ |
| ⑤ | Combine like terms: $$ -60ab \color{blue}{-22a} -2b+ \color{blue}{25a} = -60ab+ \color{blue}{3a} -2b $$ |
| ⑥ | Combine like terms: $$ \color{blue}{30a} \color{red}{-6ab} \color{green}{-27b} \color{red}{-60ab} + \color{blue}{3a} \color{green}{-2b} = \color{red}{-66ab} + \color{blue}{33a} \color{green}{-29b} $$ |
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