Question

For any real numbers a, b, c; a(b + c) = ab + ac demonstrates the distributive proerty.

O False
O True

Answer 1

The statement a(b + c) = ab + ac represents the distributive property in mathematics.

Step-by-step explanation:

The statement a(b + c) = ab + ac represents the distributive property in mathematics. This property states that when you multiply a number (a) by the sum of two numbers (b + c), it is the same as multiplying a by each of the two numbers separately and adding the products together.

For example, let's say a = 2, b = 3, and c = 4. Substituting these values into the equation, we have 2(3 + 4) = 2(3) + 2(4), which simplifies to 2(7) = 6 + 8 or 14 = 14. Therefore, the equation holds true.

Thus, the statement a(b + c) = ab + ac is True and represents the distributive property.

Learn more about Distributive property in mathematics