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(3n+6)⋅3+(2n+2)⋅4 Simplified

2 min read Jun 16, 2024
(3n+6)⋅3+(2n+2)⋅4 Simplified

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

This article will guide you through the process of simplifying the algebraic expression (3n + 6) ⋅ 3 + (2n + 2) ⋅ 4.

Step-by-Step Simplification:

  1. Distribute: Begin by distributing the constants outside the parentheses:

    • (3n + 6) ⋅ 3 = 9n + 18
    • (2n + 2) ⋅ 4 = 8n + 8

  2. Combine Like Terms: Now, rewrite the expression with the distributed terms:

    • 9n + 18 + 8n + 8

  3. Simplify: Combine the 'n' terms and the constant terms:

    • (9n + 8n) + (18 + 8)
    • 17n + 26

Final Simplified Expression:

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

Key Concepts:

  • Distributive Property: The distributive property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
  • Combining Like Terms: Like terms are terms that have the same variable raised to the same power. To combine like terms, simply add their coefficients.

By following these steps, you can successfully simplify algebraic expressions involving multiplication and addition.

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