Math Problem Statement

-2y + 2x^2 + 5x^2 - 5x^2 - y - 5y: Simplify the expression.

Solution

The image you uploaded contains the following expression to simplify:

2y+2x2+5x25x2y5y-2y + 2x^2 + 5x^2 - 5x^2 - y - 5y

Steps to Simplify:

  1. Combine like terms for yy: 2yy5y=8y-2y - y - 5y = -8y
  2. Combine like terms for x2x^2: 2x2+5x25x2=2x22x^2 + 5x^2 - 5x^2 = 2x^2

Final simplified expression:

8y+2x2-8y + 2x^2

Thus, the correct answer is: 8y+2x2\boxed{-8y + 2x^2}

Let me know if you'd like further clarification or more details. Here are some related questions to expand your understanding:

  1. How do you identify like terms in an algebraic expression?
  2. Why do we combine terms with the same variables in algebraic expressions?
  3. Can this simplification process be applied to more complex expressions with higher powers?
  4. What happens if there are coefficients with variables of different powers?
  5. How does the order of terms (e.g., x2x^2 before yy) affect the final expression?

Tip: Always group similar terms together when simplifying expressions to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Combining Like Terms

Formulas

Combining Like Terms: a + b

Theorems

Simplification of algebraic expressions

Suitable Grade Level

Grades 7-9