# SOLUTION: Simplify the complex rational expression 3 + 12/x _________ 1 - 16/x^2

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 Question 191829This question is from textbook Introductory Algebra for College Students : Simplify the complex rational expression 3 + 12/x _________ 1 - 16/x^2This question is from textbook Introductory Algebra for College Students Answer by Alan3354(34674)   (Show Source): You can put this solution on YOUR website! Simplify the complex rational expression 3 + 12/x _________ 1 - 16/x^2 ----------------- = (3x+12)/x // ((x^2-16)/x^2 The quickest and least error-prone way to do these it make a new fraction by multiplying the "outside" terms, in this case (3x+12) and x^2 (NUM) and the "inside" terms, x*(x^2-16). --> x^2*(3x+12)/(x*(x^2-16)) = x*3*(x+4)/(x+4)*(x-4) = 3x/(x-4)