Question

Simplify completely"""​

Answer 1

`\displaystyle (2(x + 2))/(x - 10)`

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 + 20x + 32)/(x^2 - 2x - 80)`

Step 2: Simplify

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