Which demonstrates the distributive property? * a + b = b + a
O (a + b) + c = a + (b + c)
a(b + c) = ab + ac
a + 0 = a

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

Step-by-step explanation:

The distributive property is the product of a number by the sum of the other two numbers equal to the sum of the product of the number with each of the other two numbers.

Example: x(y + z) = xy + xz

Let us check the choices to find which of them demonstrates the distributive property

∵ a + b = b + a

→ Adding a and b equals to adding b and a,

∴ It demonstrates the commutative property

∵ (a + b) + c = a + (b + c)

→ Adding the sum of a and b to c equals to adding c to the sum of a and b

∴ It demonstrates the associative property

∵ a(b + c) = ab + ac

→ Multiplying a by the sum of b and c equals the sum of the products

  of a, b and a, c

∴ It demonstrates the distributive property

∵ a + 0 = a

→ The additive identity is zero

∴ It demonstrates the additive identity property

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

linear pair postulates