Ise the distributive property to write an equivalent expression.

Certainly! The **distributive property** allows you to multiply a single term by each term inside a set of parentheses. It helps in expanding expressions and simplifying calculations. ### **Distributive Property Formula:** \[ a(b + c) = ab + ac \] \[ a(b - c) = ab - ac \] ### **Example 1:** **Expression:** \[ 5(x + 3) \] **Applying Distributive Property:** \[ 5 \cdot x + 5 \cdot 3 = 5x + 15 \] **Equivalent Expression:** \[ 5x + 15 \] ### **Example 2:** **Expression:** \[ 2(4y - 7) \] **Applying Distributive Property:** \[ 2 \cdot 4y - 2 \cdot 7 = 8y - 14 \] **Equivalent Expression:** \[ 8y - 14 \] ### **Example 3:** **Expression:** \[ -3(2a + 5b - c) \] **Applying Distributive Property:** \[ -3 \cdot 2a + (-3) \cdot 5b + (-3) \cdot (-c) = -6a - 15b + 3c \] **Equivalent Expression:** \[ -6a - 15b + 3c \] ### **Steps to Apply the Distributive Property:** 1. **Multiply** the term outside the parentheses by **each** term inside the parentheses. 2. **Change** the sign as necessary based on the operation (addition or subtraction). 3. **Simplify** the resulting expression by combining like terms if possible. If you have a specific expression you'd like to simplify using the distributive property, feel free to share it!