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

Jun 5, 2016

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

#### Explanation:

Here, we have to multiply each term in bracket 1 with each term in bracket 2.

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

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

Next, multiply the term on the outside of the brackets, with each term inside the bracket:

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

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

Combine the terms:

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