SOLUTION: Simplify: {{{((X^2+3x-10)/(6X^2-24)) / ((X^2+X-20)/(X^2+3X+2)) / ((x^2-1)/6)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify: {{{((X^2+3x-10)/(6X^2-24)) / ((X^2+X-20)/(X^2+3X+2)) / ((x^2-1)/6)}}}      Log On


   

Question 3328: Simplify:

Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Here's your cartoon:

And here's your full solution.
First, move things around:

Second, factorize every piece in that formula using Quadratic Equation Solver.
+1x%5E2%2B3x-10+=+%28x-2%29%28x%2B5%29
+6X%5E2-24+=++6%28x-2%29%28x%2B2%29+
+X%5E2%2BX-20+=++%28x-4%29%28x%2B5%29+
+X%5E2%2B3X%2B2+=++%28x%2B1%29%28x%2B2%29+
+x%5E2-1+=+%28x-1%29%2A%28x%2B1%29++++

Now, similar terms cancel out:

So, your answer is
.
Double check my solution, maybe I got something wrong.
Also, note that for every thing that canceled out, there is a point where the