Math Problem Statement

3x^2 + 7x - 2x^2 - x - 1

Solution

Let's simplify the expression:

3x2+7x2x2x13x^2 + 7x - 2x^2 - x - 1

  1. Combine like terms:
    • Combine the x2x^2 terms: 3x22x2=x23x^2 - 2x^2 = x^2
    • Combine the xx terms: 7xx=6x7x - x = 6x
    • The constant remains 1-1

So, the simplified expression is:

x2+6x1x^2 + 6x - 1

Would you like further details or have any questions?

Here are 5 related questions for practice:

  1. How would you solve x2+6x1=0x^2 + 6x - 1 = 0?
  2. What is the value of the expression when x=2x = 2?
  3. What happens to the expression when you factor it (if possible)?
  4. How would you graph x2+6x1x^2 + 6x - 1?
  5. How does the value of the expression change as xx increases?

Tip: Always look to combine like terms first to simplify algebraic expressions quickly.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Polynomials

Formulas

Combining like terms in a polynomial

Theorems

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Suitable Grade Level

Grades 7-9