Answer
$$(16+2x)\cdot(12+2x)=4x^2+56x+192$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(16+2x)\cdot(12+2x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}192+32x+24x+4x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4x^2+56x+192\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{16+2x}\right) $ by each term in $ \left( 12+2x\right) $. $$ \left( \color{blue}{16+2x}\right) \cdot \left( 12+2x\right) = 192+32x+24x+4x^2 $$ |
| ② | Combine like terms: $$ 192+ \color{blue}{32x} + \color{blue}{24x} +4x^2 = 4x^2+ \color{blue}{56x} +192 $$ |
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