Answer
$$(y+9)(y+2)=y^2+11y+18$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(y+9)(y+2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}y^2+2y+9y+18 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}y^2+11y+18\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{y+9}\right) $ by each term in $ \left( y+2\right) $. $$ \left( \color{blue}{y+9}\right) \cdot \left( y+2\right) = y^2+2y+9y+18 $$ |
| ② | Combine like terms: $$ y^2+ \color{blue}{2y} + \color{blue}{9y} +18 = y^2+ \color{blue}{11y} +18 $$ |
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