Math Problem Statement

(2x^2 - 3x) + (x^2 - 1)

Solution

Let's simplify the expression:

(2x23x)+(x21)(2x^2 - 3x) + (x^2 - 1)

Step 1: Combine like terms

  • Combine the x2x^2 terms: 2x2+x2=3x22x^2 + x^2 = 3x^2

  • Combine the constant terms: -3x \text{ (there are no other x terms to combine with)} = -3x

  • Combine the constant terms: 1 (there are no other constants to combine with)=1-1 \text{ (there are no other constants to combine with)} = -1

Final simplified expression:

3x23x13x^2 - 3x - 1

Would you like further details or clarifications?

Here are 5 related questions you can explore:

  1. How do you factor the expression 3x23x13x^2 - 3x - 1?
  2. What are the roots of the quadratic equation 3x23x1=03x^2 - 3x - 1 = 0?
  3. How can we represent this simplified expression graphically?
  4. How would the expression change if you were to substitute a value for xx?
  5. How would the result change if there were another constant term added?

Tip: Always remember to group like terms to simplify polynomial expressions easily.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Simplifying Expressions

Formulas

Combining like terms in polynomials

Theorems

None directly involved, but understanding basic algebraic manipulation is key

Suitable Grade Level

Grades 8-10