Question

simplify the expression: 5(1 + 7r) =

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b + c)=ab + ac \). Here, \( a = 5 \), \( b = 1 \), and \( c = 7r \). So we multiply 5 with each term inside the parentheses: \( 5\times1+5\times7r \).

Step2: Calculate each product

Calculate \( 5\times1 = 5 \) and \( 5\times7r=35r \). Then combine the results: \( 5 + 35r \).

Answer:

\( 5 + 35r \)