Respuesta :

Space

Answer:

[tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/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 + 16x + 30}{5x^2 + 13x - 6}[/tex]

Step 2: Simplify

  1. [Fraction] Factor numerator:                                                                         [tex]\displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}[/tex]
  2. [Fraction] Factor denominator:                                                                     [tex]\displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}[/tex]
  3. [Fraction] Divide:                                                                                           [tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]

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