Question

Simplify completely''''​

Answer 1

`\displaystyle (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

Explanation:

Step 1: Define

`\displaystyle (2x^2 + 13x + 20)/(x^2 - 5x - 36)`

Step 2: Simplify

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