Question

Which of the following is the definition of the Distributive Property?

O A. For all real numbers a, b, and c, if a = b, then a+c=b+C.
O B. For all real numbers a, b, and c with c# 0, if a = b, then ca = cb.
O C. For all real numbers a, b, and c, a(b + c) = ab + ac.
a
OD. For all real numbers a, b, and c with c# 0, if a = b, then
-
C
nt

Answer 1

I'm pretty sure its C.

Explanation:

cause a would be distributed into b and c. so

a(b+c)

ab +ac

which will then become ab+ac

im bad at explaining sorry

Answer 2

Option C

Explanation:

The distributive property states that:

`a(b+c)=ab+ac`

You have to multiply 'b' and 'c' by 'a' to completely distribute.

Example using Distributive Property:

`4(3+5)\\\\\rightarrow\text{Distribute: }4(3+5)=4(3)+4(5)\\\\4(3+5)=12+20\\\\4(3+5)=32`

Hope this helps.