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

May 14, 2018

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

#### Explanation:

$\left(x + 3\right) \left(x + 2\right)$

To simplify this, we use the distributive method called FOIL, as shown here:

Following this image, first multiply the $\textcolor{red}{\text{firsts}}$:
$\textcolor{red}{x \cdot x} = {x}^{2}$

Then the $\textcolor{p u r p \le}{\text{outsides}}$:
$\textcolor{p u r p \le}{x \cdot 2} = 2 x$

Then the $\textcolor{\mathrm{da} r k t u r q u o i s e}{\text{insides}}$:
$\textcolor{\mathrm{da} r k t u r q u o i s e}{3 \cdot x} = 3 x$

And finally the $\textcolor{\lim e g r e e n}{\text{lasts}}$:
$\textcolor{\lim e g r e e n}{3 \cdot 2} = 6$

Now combine all of these:
${x}^{2} + 2 x + 3 x + 6$

We can still combine $\textcolor{b l u e}{2 x + 3 x}$ because they are like terms. Therefore, the final answer is:
${x}^{2} + 5 x + 6$

Hope this helps!