document.write( "Question 34347: I need to simplify, can you help?\r
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Algebra.Com's Answer #20602 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"%283x%2B9%29%2F%28x%5E2-x-12%29%2A%28x%5E2%2B5x%2B6%29%2F%2824x%2B48%29\" simplifies to \"%28x%2B3%29%2F%28x-4%29%2F8\"
  • 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) )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at .
Canceled out common factors (x-(-3))
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Look at .
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\"
It becomes \"highlight_green%28+3+%29%2F%28x-4%29%2A%28x%5E2%2B5%2Ax%2B6%29%2F%2824%2Ax%2B48%29\".
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Look at .
Canceled out common factors (x-(-2))
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Look at \"highlight_red%28+3%2F%28x-4%29%2A%28x%2B3%29%2F%28highlight_red%28+24+%29%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+1%2F24+%29\"
It becomes \"3%2F%28x-4%29%2A%28x%2B3%29%2Fhighlight_green%28+24+%29\".
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Look at \"highlight_red%28+3+%29%2F%28x-4%29%2A%28x%2B3%29%2Fhighlight_red%28+24+%29\".
Factors 3 and 24 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes \"highlight_green%28+1+%29%2F%28x-4%29%2A%28x%2B3%29%2Fhighlight_green%28+8+%29\".
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Look at \"highlight_red%28+1+%29%2F%28x-4%29%2A%28x%2B3%29%2F8\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"%28x%2B3%29%2F%28x-4%29%2F8\".
Result: \"%28x%2B3%29%2F%28x-4%29%2F8\"
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Universal Simplifier and Solver

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Done!
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