Math Problem Statement

Combine Like Terms 3, x, squared, plus, x, plus, x, squared, plus, y, squared 3x 2 +x+x 2 +y 2

Solution

To combine like terms in the expression 3x2+x+x2+y23x^2 + x + x^2 + y^2, follow these steps:

Step-by-step Solution:

  1. Group the like terms:

    • Terms with x2x^2: 3x23x^2 and x2x^2.
    • Terms with xx: xx.
    • Terms with y2y^2: y2y^2.
  2. Combine coefficients for like terms:

    • 3x2+x2=4x23x^2 + x^2 = 4x^2.
    • xx remains as it is.
    • y2y^2 remains as it is.
  3. Write the simplified expression: 4x2+x+y24x^2 + x + y^2

Final Answer:

4x2+x+y24x^2 + x + y^2

Do you want further details or have any questions?

Related Questions:

  1. What are like terms, and how do you identify them?
  2. How do coefficients affect the process of combining like terms?
  3. Can x2x^2 and y2y^2 ever be combined?
  4. How do you approach expressions with multiple variables?
  5. What happens if the terms have different exponents?

Tip:

Always arrange the terms in standard order (highest power to lowest) for clarity when simplifying expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Combining Like Terms

Formulas

Combine coefficients of like terms with the same variables and exponents

Theorems

Fundamental properties of addition and multiplication in algebra

Suitable Grade Level

Grades 6-8