# How do you use FOIL to multiply (2x-5)(3x+6)?

May 25, 2018

$6 {x}^{2} - 3 x - 30$

#### Explanation:

Given: $\left(2 x - 5\right) \left(3 x + 6\right)$.

$\text{FOIL}$ states that for a product of $\left(a + b\right) \left(c + d\right)$, the answer is: $a c + a d + b c + b d$.

So, here we get:

$= 2 x \cdot 3 x + 2 x \cdot 6 - 5 \cdot 3 x - 5 \cdot 6$

$= 6 {x}^{2} + 12 x - 15 x - 30$

$= 6 {x}^{2} - 3 x - 30$