Question

Simplify completely''''​

Answer 1

Answer:

$\displaystyle \frac{2(x + 3)}{5x - 2}$

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

$\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}$

Step 2: Simplify

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