(3n+6)⋅3+(2n+2)⋅4=

Jasonbradley

2 min read

·

Jun 16, 2024

18

Share

Simplifying the Expression: (3n+6)⋅3+(2n+2)⋅4

This article aims to simplify the mathematical expression (3n+6)⋅3+(2n+2)⋅4. We will use the distributive property and order of operations (PEMDAS/BODMAS) to achieve this.

Breakdown of the Expression

Let's break down the expression step-by-step:

1. Distributive Property: The distributive property allows us to multiply a term outside of parentheses by each term inside the parentheses.

   • (3n+6)⋅3 becomes 3n⋅3 + 6⋅3
   • (2n+2)⋅4 becomes 2n⋅4 + 2⋅4

2. Simplification: Now, we can simplify each term:

   • 3n⋅3 = 9n
   • 6⋅3 = 18
   • 2n⋅4 = 8n
   • 2⋅4 = 8

3. Combining Like Terms: After simplification, our expression looks like this: 9n + 18 + 8n + 8. We can combine the terms with 'n' and the constant terms:

   • 9n + 8n = 17n
   • 18 + 8 = 26

Final Simplified Expression

The simplified form of the expression (3n+6)⋅3+(2n+2)⋅4 is 17n + 26.