Math Problem Statement

(-2y^2 + y + 2) - (9y^2 + 4y - 8) + (-2y^2 + 3y + 2)

Solution

The simplified form of the given expression is:

1213y212 - 13y^2

Would you like more details on the steps?

Here are 5 related questions for further practice:

  1. How would the expression change if the coefficient of y2y^2 were doubled?
  2. What is the result if you substitute y=2y = 2 into the simplified expression?
  3. How do you factor 1213y212 - 13y^2?
  4. What happens if you add a linear term 7y-7y to the simplified expression?
  5. Can you solve the equation 1213y2=012 - 13y^2 = 0?

Tip: Always check your expressions for common factors before simplifying; this might make the simplification process easier!

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomial Simplification

Formulas

Combining like terms in polynomial expressions

Theorems

Associative and Distributive Properties

Suitable Grade Level

Grades 8-10