How to Simplify Rational Expressions Easily

 Introduction:

Rational expressions involve fractions with polynomials. Let’s break down how to simplify them with this example.

Problem:
Simplify the expression $\frac{6x^2y}{3xy^2}$.

Solution:

1. Simplify the coefficients: $\frac{6}{3} = 2$
2. Cancel common factors: $\frac{6x^2y}{3xy^2} = \frac{2x}{y}$

Conclusion:
Simplifying rational expressions is all about factoring and canceling out common terms. Always look for common factors before simplifying.