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

Feb 23, 2017

$9 {x}^{2} - 12 x + 4$

#### Explanation:

${\left(3 x - 2\right)}^{2}$ can be expanded to $\left(3 x - 2\right) \left(3 x - 2\right)$
From here you can use the FOIL method to expand.

The "first" would be $3 x \cdot 3 x = 9 {x}^{2}$
The "outside" would be $3 x \cdot - 2 = - 6 x$
The "inside," $- 2 \cdot 3 x = - 6 x$
And the "last," $- 2 \cdot - 2 = 4$

Putting the terms together you get
$9 {x}^{2} - 6 x - 6 x + 4$

And combining like terms
$9 {x}^{2} - 12 x + 4$