Math Problem Statement

4n2+7n+6-n2+n

Solution

To simplify the expression 4n2+7n+6n2+n4n^2 + 7n + 6 - n^2 + n, combine like terms:

Step 1: Group like terms

(4n2n2)+(7n+n)+6(4n^2 - n^2) + (7n + n) + 6

Step 2: Perform the operations

  • 4n2n2=3n24n^2 - n^2 = 3n^2
  • 7n+n=8n7n + n = 8n
  • The constant 66 remains unchanged.

Final Simplified Expression:

3n2+8n+63n^2 + 8n + 6

Would you like a detailed explanation of the steps or further assistance?


Related Questions:

  1. How would you factor 3n2+8n+63n^2 + 8n + 6?
  2. What happens if you substitute n=2n = 2 in 3n2+8n+63n^2 + 8n + 6?
  3. Can you graph y=3n2+8n+6y = 3n^2 + 8n + 6 and explain its properties?
  4. What is the derivative of 3n2+8n+63n^2 + 8n + 6?
  5. How do you solve 3n2+8n+6=03n^2 + 8n + 6 = 0?

Tip: Always combine terms carefully and double-check signs when simplifying algebraic expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomial Simplification
Combining Like Terms

Formulas

Expression simplification by combining like terms: ax^2 + bx + c

Theorems

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Suitable Grade Level

Grades 7-9