# How do you simplify (3x-2)^2?

Apr 8, 2017

See the entire solution process below:

#### Explanation:

We can use this rule:

${\left(a - b\right)}^{2} = {a}^{2} - 2 a b + {b}^{2}$

We will let $a = 3 x$ and $b = 2$ and substitute giving:

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