Question
Answer
$$(31y\cdot1-70y\cdot2)(2x+5)=-218xy-545y$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(31y\cdot1-70y\cdot2)(2x+5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(31y-140y)(2x+5) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-109y(2x+5) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-218xy-545y\end{aligned} $$ | |
| ① | $$ 70 y \cdot 2 = 140 y $$ |
| ② | Combine like terms: $$ \color{blue}{31y} \color{blue}{-140y} = \color{blue}{-109y} $$ |
| ③ | Multiply $ \color{blue}{-109y} $ by $ \left( 2x+5\right) $ $$ \color{blue}{-109y} \cdot \left( 2x+5\right) = -218xy-545y $$ |
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