# Use FOIL to simplify the expression " "(2x+3)(x-1) ?

Feb 9, 2018

$2 {x}^{2} + x - 3$

#### Explanation:

$F \text{ }$ Firsts
$O \text{ }$ Outers
$I \text{ }$ Inners
$L \text{ }$Lasts

1) Do $2 x \times x = 2 {x}^{2}$
2) Do $2 x \times - 1 = - 2 x$
3) Do $3 \times x = 3 x$
4) Do $3 \times - 1 = - 3$

5) Put all of the terms in order.
$2 {x}^{2} - 2 x + 3 x - 3$

6) Add or subtract like terms
$2 {x}^{2} + x - 3$

Feb 23, 2018

For reference. This is the same sort of thing as FOIL

#### Explanation:

$\textcolor{b l u e}{\left(2 x + 3\right)} \textcolor{g r e e n}{\left(x - 1\right)}$

Multiply everything in the right hand brackets by everything in the left.

color(green)(color(blue)(2x)(x-1)color(blue)(color(white)(dd"d")+3)(x-1))" " Notice the way the + follows the 3

$2 {x}^{2} - 2 x \textcolor{w h i t e}{\text{ddd}} + 3 x - 3$

$2 {x}^{2} + x - 3$