Answer:
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
