How can I simplify the expression 2n² + 4n + 32n + 3 using the horizontal method?

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To simplify the expression 2n² + 4n + 32n + 3 using the horizontal method, let’s follow these steps:

  1. Combine Like Terms: First, we identify and combine the like terms in the expression. Here, we have:
    • The quadratic term: 2n²
    • The linear terms: 4n and 32n
    • The constant term: 3

    Now, let’s combine the linear terms:

    4n + 32n = 36n

    So now, our expression looks like:

    2n² + 36n + 3
  2. Final Expression: We have simplified the expression to 2n² + 36n + 3.

This expression cannot be simplified any further unless we factor it or look for specific values of n. If you want to factor it, you could explore methods involving the factoring of quadratics or using the quadratic formula, but for simplification, 2n² + 36n + 3 is the final simplified form using the horizontal method.

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