Question

Simplify completely''''​

Answer 1

`\displaystyle (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

Explanation:

Step 1: Define

`\displaystyle (2x^2 + 16x + 30)/(5x^2 + 13x - 6)`

Step 2: Simplify

1. [Fraction] Factor numerator:
   `\displaystyle (2(x + 3)(x + 5))/(5x^2 + 13x - 6)`
2. [Fraction] Factor denominator:
   `\displaystyle (2(x + 3)(x + 5))/((x + 3)(5x - 2))`
3. [Fraction] Divide:
   `\displaystyle (2(x + 3))/(5x - 2)`