Question

simplify the expression: 5(1 + 5x) =

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c)=ab+ac\). Here, \(a = 5\), \(b = 1\), and \(c=5x\). So we multiply 5 with each term inside the parentheses.

$$5\times1+5\times5x$$

Step2: Calculate each product

Calculate \(5\times1 = 5\) and \(5\times5x=25x\). Then combine the results.

$$5 + 25x$$

Answer:

\(5 + 25x\)