Question
Answer
$$(5y+5)(2y+2)=10y^2+20y+10$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5y+5)(2y+2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}10y^2+10y+10y+10 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}10y^2+20y+10\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5y+5}\right) $ by each term in $ \left( 2y+2\right) $. $$ \left( \color{blue}{5y+5}\right) \cdot \left( 2y+2\right) = 10y^2+10y+10y+10 $$ |
| ② | Combine like terms: $$ 10y^2+ \color{blue}{10y} + \color{blue}{10y} +10 = 10y^2+ \color{blue}{20y} +10 $$ |
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