Essay

Documenting the Cost Model Simplification Procedure

Imagine you are a junior business analyst onboarding a new team member. Your company uses algebraic formulas to model regional shipping and storage expenses. You are handed the combined raw cost model expression for two departments:

3x2+7x+9+7x2+9x+8{}3x^2 + 7x + 9 + 7x^2 + 9x + 8

To ensure your new colleague understands the company's standard protocol for simplifying cost models, write a short essay that details the step-by-step procedure to simplify this expression by combining like terms. In your essay, you must:

  1. Define what 'like terms' are in algebra and identify the three specific groups of like terms found in the cost model expression above.
  2. Recall and describe the mathematical rule used to combine each group of terms.
  3. State the final consolidated cost model expression after applying this procedure.

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Updated 2026-06-18

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