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Learn to simplify the rational expression (3x + 6)/(5x + 10) by factoring out the greatest common factor (GCF) from both the numerator and denominator in this 13-minute algebra tutorial. Master the essential technique of identifying common factors in polynomial expressions, then apply the fundamental principle that allows you to cancel identical factors from the numerator and denominator to reduce rational expressions to their simplest form. Discover how to recognize when terms share common factors, extract the GCF systematically, and verify your simplified result, building crucial algebraic skills needed for more advanced mathematics including polynomial operations, equation solving, and calculus preparation.
