# How do you simplify the product (5x - 2)(x + 3) and write it in standard form?

Mar 3, 2016

$\left(5 x - 2\right) \left(x + 3\right) = \textcolor{b l u e}{5 {x}^{2} + 13 x - 6}$

#### Explanation:

Use the FOIL method for multiplying binomials.

$\left(5 x - 2\right) \left(x + 3\right) = {\overbrace{5 x \cdot x}}^{\text{first"+overbrace(5x*3)^"outer"+overbrace(-2*x)^"inner"+overbrace(-2*3)^"last}}$

Simplify..

$\left(5 x - 2\right) \left(x + 3\right) = 5 {x}^{2} + 15 x - 2 x - 6$

Combine like terms.

$\left(5 x - 2\right) \left(x + 3\right) = 5 {x}^{2} + 13 x - 6$