# How do you multiply (x - 5)(x + 2)?

Aug 13, 2016

$\left(x - 5\right) \left(x + 2\right) = \textcolor{b l u e}{{x}^{2} - 3 x - 10}$

#### Explanation:

Use the FOIL method. Multiply the terms in the two binomials according to the diagram below.

$\left(x - 5\right) \left(x + 2\right) = \left(x \cdot x\right) + \left(x \cdot 2\right) + \left(- 5 \cdot x\right) + \left(- 5 \cdot 2\right)$

Simplify.

$\left(x - 5\right) \left(x + 2\right) = {x}^{2} + 2 x - 5 x - 10$

Simplify.

$\left(x - 5\right) \left(x + 2\right) = {x}^{2} - 3 x - 10$