Math Problem Statement

Simplify the expression (-5x^2 + 4x - 7) - (5x^2 + 3x - 1) + (-4x^2 + 8x + 8).

Solution

The simplified expression is:

14x2+9x+2-14x^2 + 9x + 2

Would you like more details on any part of this solution? Here are some related questions:

  1. How do you simplify polynomials like this step by step?
  2. What are the rules for combining like terms in algebra?
  3. Can you explain how the distributive property works in this context?
  4. How can this simplified polynomial be factored?
  5. What are some common mistakes to avoid when simplifying polynomials?

Tip: Always distribute any negative signs or subtraction carefully when simplifying expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Combining Like Terms

Formulas

Distributive property
Combining like terms

Theorems

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Suitable Grade Level

Grades 8-10