# How do you multiply #-p^2 (p-11)#?

##### 1 Answer

Jul 1, 2015

Use the distributive property (also known as the distributive law or rule).

#### Explanation:

The distributive property says that for any numbers

It may help to also point out that:

Finally,

So when we distribute, we get:

# = -p^2*p +(-p^2)(-11)#

# = -p^3 +(11p^2)#

# = -p^3+11p#

With experience, it becomes quicker to see that "when we distribute a minus sign, we have to change the signs" so, for example:

and

and