Answer:
[tex]\displaystyle \frac{x + 7}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
- Terms/Coefficients
- Factoring
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{x^2 + 12x + 35}{3x + 15}[/tex]
Step 2: Simplify
- [Fraction] Factor numerator: [tex]\displaystyle \frac{(x + 5)(x + 7)}{3x + 15}[/tex]
- [Fraction] Factor denominator: [tex]\displaystyle \frac{(x + 5)(x + 7)}{3(x + 5)}[/tex]
- [Fraction] Divide: [tex]\displaystyle \frac{x + 7}{3}[/tex]