What property is this?

4(7+9)=(4x7)+(4x9)

The property demonstrated in this equation is the distributive property. It states that when you multiply a number by the sum of two other numbers, you can distribute the multiplication to each number individually and then perform the addition.

In this case, the equation is 4(7+9)=(4x7)+(4x9).

To understand how this works, let's break it down step by step:

Step 1: Start with the expression on the left side of the equation: 4(7+9)
Step 2: Apply the distributive property by multiplying 4 to each term inside the parentheses: 4x7 + 4x9
Step 3: Perform the multiplications: 28 + 36
Step 4: Add the two results: 28 + 36 = 64

So, in this case, the property being demonstrated is the distributive property.