3x-15 over 5 factorises and simplify if possible

Let's factorize and simplify the expression \(\frac{3x - 15}{5}\).

1. **Factorize the numerator:**
   The expression in the numerator is \(3x - 15\). Notice that both terms have a common factor of 3, so we can factor out 3:
   \[
   3x - 15 = 3(x - 5)
   \]

2. **Simplify the expression:**
   Now the expression becomes:
   \[
   \frac{3(x - 5)}{5}
   \]
   Since there are no common factors between the numerator and the denominator, this is the simplest form.

So, the simplified form of the expression is \(\frac{3(x - 5)}{5}\).

Would you like more details or have any questions? Here are some related questions you might find useful:

1. How do you factorize expressions involving multiple variables?
2. What is the difference between factoring and expanding in algebra?
3. Can you provide examples of how to simplify rational expressions?
4. How do you handle expressions with negative exponents in simplification?
5. How do you simplify expressions involving both addition and multiplication?
6. What are the common mistakes to avoid when factoring expressions?
7. How do you factor quadratics and simplify them?
8. Can you explain the process of dividing polynomials?

**Tip:** Always look for the greatest common factor (GCF) when factoring expressions. It simplifies the process and helps in reducing the expression efficiently.

Learn how to factorize and simplify the expression (3x - 15) / 5 with a detailed step-by-step solution. This problem covers algebraic concepts such as rational expressions and factoring. Suitable for students in Grades 7-9.

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