How do you use the distributive property to simplify #10(2+y+z)#?

1 Answer
Apr 6, 2018

#10y + 10z + 20#

Here's how I did it:

Explanation:

The distribute property for addition is as follows:
i.stack.imgur.com
(imgur.com)

So let's look at our problem, #10(2+y+z)#:
#10 * 2 = 20#

#10 * y = 10y#

#10 * z = 10z#

And when we combine them together we get:
#20 + 10y + 10z#

We usually the expression with variables first and in alphabetical order, so I'm going to reorganize it to:
#10y + 10z + 20#

Hope this helps!