# How do you simplify (x+3)(x+2)?

Feb 19, 2017

See the entire simplification process below:

#### Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

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

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

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

We can now combine like terms:

${x}^{2} + \left(2 + 3\right) x + 6$

${x}^{2} + 5 x + 6$