Question

Simplify completely"""​

Answer 1

Answer:

$\displaystyle \frac{2(x + 2)}{x - 10}$

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

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{2x^2 + 20x + 32}{x^2 - 2x - 80}$

Step 2: Simplify

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