SOLUTION: Can anyone show me how to do this problem? MUltiply 3x-30/x^2-4x * 8x/10-x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can anyone show me how to do this problem? MUltiply 3x-30/x^2-4x * 8x/10-x      Log On


   

Question 52008This question is from textbook Beginning Algebra
: Can anyone show me how to do this problem?
MUltiply 3x-30/x^2-4x * 8x/10-x This question is from textbook Beginning Algebra

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The key to multiplying rational expressions is to factor and cancel. I think you meant to solve:
(3x-30)/(x^2-4x)*(8x)/(10-x)
(3(x-10))/(x(x-4))*(8x)/(-1(-10+x)) Factor the numerators and denominators.
(3(x-10))/(x(x-4))*(8x)/(-1(x-10))
(24x(x-10))/(-x(x-4)(x-10)) Multiply numerators times numerators and denominators times denominators.
-24/(x-4) Cancel any numerators and denominators that match.