Question

simplify the expression: 3(1 + n) =

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b + c)=ab + ac \). Here, \( a = 3 \), \( b = 1 \), and \( c=n \). So we multiply 3 with each term inside the parentheses: \( 3\times1+3\times n \).

Step2: Calculate each product

\( 3\times1 = 3 \) and \( 3\times n=3n \). Then we combine these results: \( 3 + 3n \) (or \( 3n+3 \) since addition is commutative).

Answer:

\( 3 + 3n \) (or \( 3n + 3 \))