SOLUTION: I need help multiplaing rational expressions the questions is {{{((2x-6)/(x^2-25))((x^2+6x+5)/(x^2-9))}}}

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Question 308193: I need help multiplaing rational expressions the questions is %28%282x-6%29%2F%28x%5E2-25%29%29%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2-9%29%29
Found 2 solutions by JBarnum, ichudov:
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282x-6%29%2F%28x%5E2-25%29%29%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2-9%29%29 factor everything u can


%28%282%29%2F%28x-5%29%29%28%28x%2B1%29%2F%28x%2B3%29%29
%282%28x%2B1%29%29%2F%28%28x-5%29%28x%2B3%29%29

Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
You should always try universal simplifier and solver. It usually does a good job with average middle school type problems.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %28%282x-6%29%2F%28x%5E2-25%29%29%2A%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2-9%29%29 simplifies to 2%2F%28x-5%29%2A%28x%2B1%29%2F%28x%2B3%29
  • Text form: ((2x-6)/(x^2-25))*((x^2+6x+5)/(x^2-9)) simplifies to 2/(x-5)*(x+1)/(x+3)
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( ((2x-6)/(x^2-25))*((x^2+6x+5)/(x^2-9)) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+%282%2Ax-6%29+%29,highlight_red%28+1%2F%28x%5E2-25%29+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+%28x%5E2%2B6%2Ax%2B5%29+%29,highlight_red%28+1%2F%28x%5E2-9%29+%29
It becomes .
Look at .
Canceled out common factors (x-(3))
Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2F%28x%5E2-25%29%2A%28x%5E2%2B6%2Ax%2B5%29%2F%28x%2B3%29.
Look at .
Canceled out common factors (x-(-5))
Result: 2%2F%28x-5%29%2A%28x%2B1%29%2F%28x%2B3%29

Universal Simplifier and Solver


Done!