2(2x) +2(3y)=2(2x+3y) is what property?
This equation is an example of the distributive property.
The given equation, 2(2x) + 2(3y) = 2(2x + 3y), demonstrates the distributive property of multiplication over addition.
The given expression, 2(2x) + 2(3y), can be simplified using the distributive property. Let's break down the steps to understand it better:
Step 1: Distributive Property
Apply the distributive property to each term inside the parentheses.
2(2x) = 4x
2(3y) = 6y
Step 2: Combine Like Terms
Combine the simplified terms.
4x + 6y
Now, let's compare this expression with the original expression, 2(2x + 3y).
The original expression, 2(2x + 3y), is equal to 4x + 6y, which is exactly the same as our simplified expression. Therefore, we can conclude that the given expression, 2(2x) + 2(3y) = 2(2x + 3y), shows the distributive property.