# How do you simplify 3a^2b (2b - 1)?

Apr 6, 2018

$6 {a}^{2} {b}^{2} - 3 {a}^{2} b$

Here's how I did it:

#### Explanation:

$3 {a}^{2} b \left(2 b - 1\right)$

To simplify this, we have to use the distributive property. This is where we "distribute" or multiply the value outside of the parenthesis to everything inside. In this example, that means you would do:

$3 {a}^{2} b \cdot 2 b = 6 {a}^{2} {b}^{2}$

$3 {a}^{2} b \cdot - 1 = - 3 {a}^{2} b$

Finally, we combine these two expressions:
$6 {a}^{2} {b}^{2} - 3 {a}^{2} b$

Hope this helps!