SOLUTION: Simplify: {{{ (3x)/(x^2+x-12) - (6)/(x+4) }}} divided by {{{ (x+1)/(x-3) + (2x)/(x^2-5x+6) }}} Thanks.

Algebra ->  Rational-functions -> SOLUTION: Simplify: {{{ (3x)/(x^2+x-12) - (6)/(x+4) }}} divided by {{{ (x+1)/(x-3) + (2x)/(x^2-5x+6) }}} Thanks.      Log On


   

Question 834520: Simplify:
+%283x%29%2F%28x%5E2%2Bx-12%29+-+%286%29%2F%28x%2B4%29+
divided by
+%28x%2B1%29%2F%28x-3%29++%2B+%282x%29%2F%28x%5E2-5x%2B6%29+
Thanks.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's simplify numerator and denominator first,






Now the denominator,








Dividing by a fraction is the same as multiplying by its reciprocal,