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Lecture notes: 0.5 rational expressions (fractions) reduce 6x^2+x-15 8x^2-10x-3 1. you can't reduce until your factor it. -Factor: trinomial ---> binomials (3x+5)(2x-3) (4x+1)(2x-3) (3x+5) 4 = final answer! (4x+1) multiplication -factor everything completely -then reduce everything in either. *factor again, top with a match in either bottom. use foil to find ( ) terms that cancel division invert the divisor (2nd thing) and multiply Find the LCD, doing so help uncomplicate things subtraction -remember to distribute the sign to the 2nd fraction. -factor each denominator completely -look at factors and take everything that appears and take the greatest # of times it appears ina single denominator. -change each denominator to LCD radicals Simplify NO FRACTIONS NO PERFECT POWERS NO RADICALS IN THE DENOMINATOR

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