3(x+5)=3x(x+15) what math property is this
None that I know of.
However, the distributive property of multiplication over addition says that
3(x+5) = 3*(x+5) = 3*x + 3*5 = 3x + 15
Are you mixing up x for variables and x for multiply? That's why it's common to use * for multiply
The math property being used here is the Distributive Property. The Distributive Property states that for any real numbers a, b, and c, the product of a and the sum (or difference) of b and c is equal to the sum (or difference) of the products of a and b and a and c.
In the given equation, 3(x + 5), the Distributive Property is applied by multiplying 3 to both the x and the 5 inside the parentheses. This results in 3x + 15. On the right side of the equation, you have 3x(x + 15). By applying the Distributive Property again, you multiply 3x to both the x and the 15 inside the parentheses, which gives you 3x^2 + 45x.
So, using the Distributive Property, the equation is simplified to 3x + 15 = 3x^2 + 45x.
To determine the math property used in the equation, let's simplify it step by step:
1. Distribute the 3 on the left side:
3 * x + 3 * 5 = 3x(x + 15)
3x + 15 = 3x(x + 15)
2. Now, to simplify further, we can apply the Distributive Property of Multiplication over Addition on the right side:
3x + 15 = 3x * x + 3x * 15
Distributive Property states that a(b + c) = ab + ac.
In this case, a = 3x, b = x, and c = 15.
Therefore, 3x * x + 3x * 15 can be rewritten as 3x^2 + 45x.
Now our equation becomes: 3x + 15 = 3x^2 + 45x
In this equation, the math property used is the Distributive Property, which allows us to simplify expressions by multiplying each term inside parentheses by a factor outside the parentheses.