How do you simplify (3y + 3) (y + 2)?

Jun 22, 2015

= color(red)(3y^2 + 9y + 6

Explanation:

$\left(\textcolor{red}{3 y + 3}\right) \left(y + 2\right)$
We multiply each of the two terms of the first bracket with each term within the second bracket:

$= \textcolor{red}{3 y} . \left(y + 2\right) + \textcolor{red}{3} . \left(y + 2\right)$
$= 3 {y}^{2} + 6 y + 3 y + 6$
= color(red)(3y^2 + 9y + 6