Question

Which of the following demonstrates the distributive property?

ab + ac = ac + ab
ba = ab
a(b + c) = ab + ac
ac – ab = -ab + ac

Answer 1

The 3rd one demonstrates the distributive property:

a(b + c) = ab + ac

You distribute the a inside the parenthesis ()

and thus find your answer

Answer 2

Option C is correct

a(b + c) = ab + ac demonstrates the distributive property

Explanation:

Distributive property states that:

Let x, y and z are number, then;

`x \cdot (y+z) = x \cdot y+ x \cdot z`

A.

`ab+ac = ac+ ab`

This does not follow distributive property.

B.

ba = ab

This does not follow distributive property.

C.

a(b + c) = ab + ac

This follow the distributive property.

D.

ac – ab = -ab + ac

This does not follow distributive property.