# How do you multiply polynomials (x+3)(x+2)?

Oct 15, 2015

=color(blue)(x^2+5x+6

#### Explanation:

$\textcolor{b l u e}{\left(x + 3\right)} \left(x + 2\right)$

We multiply each term of the first bracket with each of the two terms of the second bracket.

$= \textcolor{b l u e}{\left(x\right)} \cdot \left(x\right) + \textcolor{b l u e}{\left(x\right)} \cdot \left(2\right) + \textcolor{b l u e}{\left(3\right)} \cdot \left(x\right) + \textcolor{b l u e}{\left(3\right)} \cdot \left(2\right)$

$= {x}^{2} + 2 x + 3 x + 6$

=color(blue)(x^2+5x+6