Question
Answer
$$(a+c)(2c-4)=2ac+2c^2-4a-4c$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(a+c)(2c-4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2ac-4a+2c^2-4c \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2ac+2c^2-4a-4c\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{a+c}\right) $ by each term in $ \left( 2c-4\right) $. $$ \left( \color{blue}{a+c}\right) \cdot \left( 2c-4\right) = 2ac-4a+2c^2-4c $$ |
| ② | Combine like terms: $$ 2ac+2c^2-4a-4c = 2ac+2c^2-4a-4c $$ |
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