SOLUTION: I need to simplify, can you help? (3x+9)/(x^2-x-12 * (x^2+5x+6)/(24x+48)

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Question 34347: I need to simplify, can you help?
(3x+9)/(x^2-x-12 * (x^2+5x+6)/(24x+48)
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
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YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: (3x+9)/(x^2-x-12)*(x^2+5x+6)/(24x+48) simplifies to (x+3)/(x-4)/8
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (3x+9)/(x^2-x-12)*(x^2+5x+6)/(24x+48) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Canceled out common factors (x-(-3))
Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes .
Look at .
Canceled out common factors (x-(-2))
Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F24+%29
It becomes .
Look at .
Factors 3 and 24 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!
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