SOLUTION: This is a question for multiplying rational expressions. Here is how problem is written. x^2-3x+2/x^2-8x+15 multiplied by x^2+x-12/8-2x-x^2 My biggest problem is figuring ou

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: This is a question for multiplying rational expressions. Here is how problem is written. x^2-3x+2/x^2-8x+15 multiplied by x^2+x-12/8-2x-x^2 My biggest problem is figuring ou      Log On

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Question 271175: This is a question for multiplying rational expressions. Here is how problem is written.
x^2-3x+2/x^2-8x+15 multiplied by x^2+x-12/8-2x-x^2
My biggest problem is figuring out how to multiply exponents to figure a solution of two sets to get my solutions.
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2-3x+2)/(x^2-8x+15) * (x^2+x-12)/(-x^2-2x+8)
Factor all the numerators and denominators:
[(x-1)*(x-2)]/[(x-3)*(x-5)] * [(x+4)*(x-3)]/[-(x-2)*(x+4)] =
[(x-1)*(x-2)*(x+4)*(x-3)]/[(x-3)*(x-5)*(-1)*(x-2)*(x+4)
Many of these factors cancel out leaving:
(x-1)/[(-1)*(x-5)] =
(x-1)/(5-x)