Question
Which propety is used in the problem?
-3(x+5)=-3x-15
-3(x+5)=-3x-15
Answers
GPT-4o mini
The property used in the equation \(-3(x+5) = -3x - 15\) is the **Distributive Property**.
The Distributive Property states that for any numbers \(a\), \(b\), and \(c\):
\[
a(b + c) = ab + ac
\]
In this case, we can apply it as follows:
\[
-3(x + 5) = -3 \cdot x + (-3) \cdot 5 = -3x - 15
\]
Thus, the equation is correctly applying the Distributive Property to expand the left side.
The Distributive Property states that for any numbers \(a\), \(b\), and \(c\):
\[
a(b + c) = ab + ac
\]
In this case, we can apply it as follows:
\[
-3(x + 5) = -3 \cdot x + (-3) \cdot 5 = -3x - 15
\]
Thus, the equation is correctly applying the Distributive Property to expand the left side.