Question

Simplify completely'''​

Answer 1

`\displaystyle (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

Explanation:

Step 1: Define

`\displaystyle (7x^2 + 11x - 6)/(7x^2 - 10x + 3)`

Step 2: Simplify

1. [Fraction] Factor numerator:
   `\displaystyle ((x + 2)(7x - 3))/(7x^2 - 10x + 3)`
2. [Fraction] Factor denominator:
   `\displaystyle ((x + 2)(7x - 3))/((x - 1)(7x - 3))`
3. [Fraction] Divide:
   `\displaystyle (x + 2)/(x - 1)`