Question

Simplify completely''''​

Answer 1

Answer:

$\displaystyle \frac{2x + 5}{x - 9}$

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

$\displaystyle \frac{2x^2 + 13x + 20}{x^2 - 5x - 36}$

Step 2: Simplify

1. [Fraction] Factor numerator:                                                                         $\displaystyle \frac{(x + 4)(2x + 5)}{x^2 - 5x - 36}$
2. [Fraction] Factor denominator:                                                                      $\displaystyle \frac{(x + 4)(2x + 5)}{(x - 9)(x + 4)}$
3. [Fraction] Divide:                                                                                           $\displaystyle \frac{2x + 5}{x - 9}$