Respuesta :

Space

Answer:

[tex]\displaystyle \frac{x + 2}{x - 1}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{7x^2 + 11x - 6}{7x^2 - 10x + 3}[/tex]

Step 2: Simplify

  1. [Fraction] Factor numerator:                                                                           [tex]\displaystyle \frac{(x + 2)(7x - 3)}{7x^2 - 10x + 3}[/tex]
  2. [Fraction] Factor denominator:                                                                      [tex]\displaystyle \frac{(x + 2)(7x - 3)}{(x - 1)(7x - 3)}[/tex]
  3. [Fraction] Divide:                                                                                              [tex]\displaystyle \frac{x + 2}{x - 1}[/tex]

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