# How do you expand and simplify (2x-3) (3x+4)?

Dec 28, 2016

The expanded and simplified version of $\left(2 x - 3\right) \left(3 x + 4\right)$ is $6 {x}^{2} - x - 12$.

#### Explanation:

Expanding

A good way to memorize the order of expanding is through the acronym: FOIL -> First, outside, inside, last. This is useful for binomial expressions.

$\left(2 x - 3\right) \left(3 x + 4\right)$
$= 6 {x}^{2} + 8 x - 9 x - 12$
$= 6 {x}^{2} - x - 12$

Simplifying means to combine like terms, and I've already done that when expanding.

Therefore, the expanded and simplified version of $\left(2 x - 3\right) \left(3 x + 4\right)$ is $6 {x}^{2} - x - 12$.

Hope this helps :)