Question

Simplify completely****​

Answer 1

`\displaystyle (x + 7)/(3)`

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 (x^2 + 12x + 35)/(3x + 15)`

Step 2: Simplify

1. [Fraction] Factor numerator:
   `\displaystyle ((x + 5)(x + 7))/(3x + 15)`
2. [Fraction] Factor denominator:
   `\displaystyle ((x + 5)(x + 7))/(3(x + 5))`
3. [Fraction] Divide:
   `\displaystyle (x + 7)/(3)`