What property changed(4c + 3c) + 6 to (4+3)c + 6?
Distributive proporty
The property used to change (4c + 3c) + 6 to (4+3)c + 6 is the distributive property.
To understand how the distributive property works, let's break down both expressions.
In the original expression, we have (4c + 3c) + 6. We can simplify the first part of the expression by combining the like terms: 4c + 3c = 7c. Therefore, the expression becomes 7c + 6.
Now, let's look at the second expression, (4+3)c + 6. In this expression, we have the addition inside the parentheses: (4+3). By using the distributive property, we distribute the addition to the terms inside the parentheses, which means we multiply each term by the number outside the parentheses.
So, we multiply (4+3)c, which gives us 7c. Then, we add 7c + 6, and it remains the same as the simplified expression obtained before: 7c + 6.
Thus, the property used is the distributive property, which allows us to manipulate the expression by distributing the coefficient (4+3) to each term inside the parentheses.