1. Let's start by stating the problem: You want to know if there is an easy method to simplify algebraic expressions. 2. The general approach to simplification involves combining like terms, factoring, and reducing fractions. 3. Important rules include: - Combine terms with the same variables and exponents. - Use distributive property to expand or factor expressions. - Cancel common factors in fractions using \cancel{} notation. 4. For example, to simplify $$\frac{6x}{9}$$, we find the greatest common divisor of 6 and 9, which is 3. 5. Then we write: $$\frac{\cancel{6}x}{\cancel{9}} = \frac{2x}{3}$$ 6. This shows the simplified form by canceling the common factor 3. 7. Another example: simplify $$2x + 3x - 5$$. 8. Combine like terms: $$2x + 3x = 5x$$ 9. So the simplified expression is: $$5x - 5$$ 10. In summary, the easy method is to: - Identify like terms - Combine them - Factor when possible - Cancel common factors in fractions This method works for most algebraic simplifications.