SOLUTION: multiply and Simplify (please show work) {{{(x^2/(x-6))*((x^2-14x+48)/(x^2+9x))}}}

Algebra ->  Rational-functions -> SOLUTION: multiply and Simplify (please show work) {{{(x^2/(x-6))*((x^2-14x+48)/(x^2+9x))}}}      Log On


   

Question 316297: multiply and Simplify (please show work) %28x%5E2%2F%28x-6%29%29%2A%28%28x%5E2-14x%2B48%29%2F%28x%5E2%2B9x%29%29
Found 2 solutions by Fombitz, JBarnum:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2%2F%28x-6%29%29%2A%28%28x%5E2-14x%2B48%29%2F%28x%5E2%2B9x%29%29 factor
%28x%5E2%2F%28x-6%29%29%2A%28%28x%5E2-14x%2B48%29%2F%28x%28x%2B9%29%29%29 factor
%28x%5E2%2F%28x-6%29%29%2A%28%28%28x-8%29%28x-6%29%29%2F%28x%28x%2B9%29%29%29multiply across
%28%28x%5E2%29%28x-8%29%28x-6%29%29%2F%28x%28x%2B9%29%28x-6%29%29%29see what can be canceled
%28%28x%2Ax%29%28x-8%29%28x-6%29%29%2F%28x%28x%2B9%29%28x-6%29%29%29
cancel what you can
%28x%28x-8%29%29%2F%28x%2B9%29 this is fully factored and simplified