SOLUTION: can you help me simplify x^2+7x+12/x-5 * 2x-10/x+3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can you help me simplify x^2+7x+12/x-5 * 2x-10/x+3      Log On


   

Question 196749: can you help me simplify x^2+7x+12/x-5 * 2x-10/x+3
Answer by naivemind(1) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2+7x+12)/(x-5)*(2x-10)/(x+3) expand the numerator for (x^2+7x+12)=(x+3)(x+4)
= ((x+3)(x+4))/(x-5)*2(x-5)/(x-3) factor a 2 from (2x-10)= 2(x-5)
now we see that (x+3) and (x-5) cancel out leaving us with = 2(x+4) = 2x+8