Respuesta :

Space

Answer:

[tex]\displaystyle \frac{2(x + 2)}{x - 10}[/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{2x^2 + 20x + 32}{x^2 - 2x - 80}[/tex]

Step 2: Simplify

  1. [Fraction] Factor numerator:                                                                           [tex]\displaystyle \frac{2(x + 2)(x + 8)}{x^2 - 2x - 80}[/tex]
  2. [Fraction] Factor denominator:                                                                       [tex]\displaystyle \frac{2(x + 2)(x + 8)}{(x - 10)(x + 8)}[/tex]
  3. [Fraction] Divide:                                                                                             [tex]\displaystyle \frac{2(x + 2)}{x - 10}[/tex]