document.write( "Question 307063: (x2 + 2x -15)/(x2 – x – 30) ÷ (x2 – 3x - 18)/(x2 – 2x - 24)
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Algebra.Com's Answer #219681 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: \"%28%28x%5E2%2B2x-15%29%2F%28x%5E2-x-30%29%29%2F%28%28x%5E2-3x-18%29%2F%28x%5E2-2x-24%29%29\" simplifies to \"%28x-3%29%2F%28x%5E2-3%2Ax-18%29%2A%28x%2B4%29\"
  • Text form: ((x^2+2x-15)/(x^2-x-30))/((x^2-3x-18)/(x^2-2x-24)) simplifies to (x-3)/(x^2-3*x-18)*(x+4)
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( ((x^2+2x-15)/(x^2-x-30))/((x^2-3x-18)/(x^2-2x-24)) )
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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 .
Remove unneeded parentheses around factor \"highlight_red%28+%28x%5E2%2B2%2Ax-15%29+%29\",\"highlight_red%28+1%2F%28x%5E2-x-30%29+%29\"
It becomes .
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Look at .
Remove unneeded parentheses around factor \"highlight_red%28+1%2F%28x%5E2-3%2Ax-18%29+%29\",\"highlight_red%28+%28x%5E2-2%2Ax-24%29+%29\"
It becomes .
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Look at .
Canceled out common factors (x-(-5))
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Look at .
Canceled out common factors (x-(6))
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Look at .
Remove unneeded parentheses around factor \"highlight_red%28+1%2F1+%29\"
It becomes \"%28x-3%29%2Fhighlight_green%28+1+%29%2F%28x%5E2-3%2Ax-18%29%2A%28x%2B4%29\".
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Look at \"%28x-3%29%2Fhighlight_red%28+1+%29%2F%28x%5E2-3%2Ax-18%29%2A%28x%2B4%29\".
Remove extraneous '1' from product \"highlight_red%28+1%2F1+%29\"
It becomes \"%28x-3%29%2F%28x%5E2-3%2Ax-18%29%2A%28x%2B4%29\".
Result: \"%28x-3%29%2F%28x%5E2-3%2Ax-18%29%2A%28x%2B4%29\"
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Universal Simplifier and Solver

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Done!
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