document.write( "Question 96666: Divide\r
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Algebra.Com's Answer #71312 by kiljoy(51)\"\" \"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: \"%2872x%5E3-16x%5E2%29%2F-8%2Fx\" simplifies to \"72%2F-8%2Ax%5E2-16%2F-8%2Ax\"
  • Text form: (72x^3-16x^2)/-8/x simplifies to 72/-8*x^2-16/-8*x
  • Cartoon (animation) form: \"simplify_cartoon%28+%2872x%5E3-16x%5E2%29%2F-8%2Fx+%29\"
    For tutors: simplify_cartoon( (72x^3-16x^2)/-8/x )
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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 \"highlight_red%28+%2872%2Ax%5E3-16%2Ax%5E2%29+%29%2F-8%2Fhighlight_red%28+x+%29\".
Canceled out common factors (x-(0))
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Look at \"highlight_red%28+%2872%2Ax%5E2-16%2Ax%29%2F-8%2F%28highlight_red%28+1+%29%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+1%2F1+%29\"
It becomes \"%2872%2Ax%5E2-16%2Ax%29%2F-8%2Fhighlight_green%28+1+%29\".
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Look at \"%2872%2Ax%5E2-16%2Ax%29%2Fhighlight_red%28+-8+%29%2Fhighlight_red%28+1+%29\".
Multiplied denominator integers
It becomes \"%2872%2Ax%5E2-16%2Ax%29%2Fhighlight_green%28+-8+%29\".
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Look at \"highlight_red%28+%2872%2Ax%5E2-16%2Ax%29%2F-8+%29\".
Expanded term \"1%2F-8\" by using associative property on \"%2872%2Ax%5E2-16%2Ax%29\"
It becomes \"highlight_green%28+1%2F-8%2A72%2Ax%5E2+%29-highlight_green%28+1%2F-8%2A16%2Ax+%29\".
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Look at \"highlight_red%28+1+%29%2F-8%2Ahighlight_red%28+72+%29%2Ax%5E2-1%2F-8%2A16%2Ax\".
Multiplied numerator integers
It becomes \"highlight_green%28+72+%29%2F-8%2Ax%5E2-1%2F-8%2A16%2Ax\".
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Look at \"72%2F-8%2Ax%5E2-highlight_red%28+1+%29%2F-8%2Ahighlight_red%28+16+%29%2Ax\".
Multiplied numerator integers
It becomes \"72%2F-8%2Ax%5E2-highlight_green%28+16+%29%2F-8%2Ax\".
Result: \"72%2F-8%2Ax%5E2-16%2F-8%2Ax\"
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Universal Simplifier and Solver

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Done!
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