# Use FOIL to solve the problem (3x-2)(2x-3) first ?

Feb 9, 2018

$6 {x}^{2} - 13 x + 6$ is the final answer :)

#### Explanation:

There's a shortcut you can use here, known as the " FOIL " method (that stands for F irst, O uter, I nner, L ast.). The product of two binomials is the sum of four simpler products.

The word FOIL is an acronym for the four terms of the product.







Firsts: $\text{ }$ $3 x \setminus \times 2 x = 6 {x}^{2}$
Outsides: $\text{ }$ $3 x \setminus \times - 3 = - 9 x$
Insides: $\text{ }$ $- 2 \setminus \times 2 x = - 4 x$
Lasts: $\text{ }$ $- 2 \setminus \times - 3 = 6$




$= 6 {x}^{2} + \left(- 9 x\right) + \left(- 4 x\right) + 6$
$= 6 {x}^{2} - 9 x - 4 x + 6$
$= 6 {x}^{2} - 13 x + 6$