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 6x2y3xy2\frac{6x^2y}{3xy^2}.

Solution:

  1. Simplify the coefficients: 63=2\frac{6}{3} = 2
  2. Cancel common factors: 6x2y3xy2=2xy\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.

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