Question

How do you use distributive property when simplifying the following? 7(3f + 6)
4(9 - 2f)
5(8 - f)

Answer 1

Hello there!

The Distributive Property allows us to multiply any number/variable outside of the parenthesis by all inside numbers/variables within the parenthesis.

For example;

2(3 + 4)
"2" is our outside number.
"3" and "4" are our inside numbers.
Multiple our outside number by all inside numbers.
2(3) + 2(4)
6 + 8
14.

This is how the Distributive Property works.

Now, let's answer our questions doing this.

#1.)
7(3f + 6)
7(3f) + 7(6)
21f + 42 -- This is your simplified expression for (#1.)

#2.) 
4(9 - 2f)
4(9) + 4(-2f)
36 - 8f -- This is your simplified expression for (#2.)

#3.)
5(8 - f)
5(8) + 5(f)
40 + 5f -- This is your simplified expression for (#3.)

I hope this helps!