# SOLUTION: I am having so much trouble with these two problems: Simplify the rational expressions: a) -x^2+10x-21/-3x^2+23x-14 (friend told me the answer is 3-x/3x-2 but had difficulty tr

Algebra ->  -> SOLUTION: I am having so much trouble with these two problems: Simplify the rational expressions: a) -x^2+10x-21/-3x^2+23x-14 (friend told me the answer is 3-x/3x-2 but had difficulty tr      Log On

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 401295: I am having so much trouble with these two problems: Simplify the rational expressions: a) -x^2+10x-21/-3x^2+23x-14 (friend told me the answer is 3-x/3x-2 but had difficulty trying to explain the steps to me) b) 28x^2-29x+6/-28x^2+50x-12 (didn't ask my friend because of question a's explanation issues) I thought that I could factor the numerator and denominator separately, then divide them, but Im not sure if that's right. Any help is GREATLY appreciated! Answer by algebrahouse.com(1283)   (Show Source): You can put this solution on YOUR website!a) -x^2+10x-21/-3x^2+23x-14 -x^2 + 10x - 21 --------------- -3x^2 + 23x - 14 -1(x^2 - 10x + 21) ----------------- {factored -1 out of top and bottom} -1(3x^2 - 23x + 14) (x - 7)(x - 3) --------------- {cancelled the -1's and factored top and bottom into 2 binomials} (3x - 2)(x - 7) x - 3 ------ {cancelled x - 7 on top and bottom} 3x - 2 ****************************************** b) 28x^2-29x+6/-28x^2+50x-12 28x^2 - 29x + 6 ----------------- -28x^2 + 50x - 12 (7x - 2)(4x - 3) ------------------ {factored -2 out of bottom and top into two binomials} -2(14x^2 - 25x + 6) (7x - 2)(4x - 3) ------------------ {factored bottom into two binomials} -2(7x - 2)(2x - 3) 4x - 3 ---------- {cancelled 7x - 2 on top and bottom} -2(2x - 3) www.algebrahouse.com