Question

Simplify completely'''​

Answer 1

Answer:

$\displaystyle \frac{x + 2}{x - 1}$

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

$\displaystyle \frac{7x^2 + 11x - 6}{7x^2 - 10x + 3}$

Step 2: Simplify

1. [Fraction] Factor numerator:                                                                           $\displaystyle \frac{(x + 2)(7x - 3)}{7x^2 - 10x + 3}$
2. [Fraction] Factor denominator:                                                                      $\displaystyle \frac{(x + 2)(7x - 3)}{(x - 1)(7x - 3)}$
3. [Fraction] Divide:                                                                                              $\displaystyle \frac{x + 2}{x - 1}$