Question
Answer
$$(2b+3)(b+7)=2b^2+17b+21$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2b+3)(b+7)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2b^2+14b+3b+21 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2b^2+17b+21\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{2b+3}\right) $ by each term in $ \left( b+7\right) $. $$ \left( \color{blue}{2b+3}\right) \cdot \left( b+7\right) = 2b^2+14b+3b+21 $$ |
| ② | Combine like terms: $$ 2b^2+ \color{blue}{14b} + \color{blue}{3b} +21 = 2b^2+ \color{blue}{17b} +21 $$ |
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