Question

which expression is equivalent to 4(x + 5) using the distributive property? 4x + 20; 9x; 4x + 5; x + 20

Explanation:

Step1: Recall the distributive property

The distributive property states that \(a(b + c)=ab+ac\). For the expression \(4(x + 5)\), we apply this property.

Step2: Apply the distributive property

Multiply 4 with each term inside the parentheses: \(4\times x+4\times5\).
Simplify each product: \(4x + 20\).

Answer:

\(4x + 20\) (assuming the first option is \(4x + 20\) from the visible text in the image)