document.write( "Question 173756: Add or Subtract\r
\n" ); document.write( "\n" ); document.write( "y^3 - 5y/6y - y^3 + y + 3/6y \n" ); document.write( "
Algebra.Com's Answer #128620 by jojo14344(1513)\"\" \"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: \"y%5E3-%285y%2F6%2Fy%29-y%5E3%2By%2B%283%2F6%2Fy%29\" simplifies to \"y%2B1%2F2%2Fy-5%2F6\"
  • Text form: y^3-(5y/6/y)-y^3+y+(3/6/y) simplifies to y+1/2/y-5/6
  • Cartoon (animation) form: \"simplify_cartoon%28+y%5E3-%285y%2F6%2Fy%29-y%5E3%2By%2B%283%2F6%2Fy%29+%29\"
    For tutors: simplify_cartoon( y^3-(5y/6/y)-y^3+y+(3/6/y) )
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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 \"y%5E3-highlight_red%28+%285%2Ay%2F6%2Fy%29+%29-y%5E3%2By%2B%283%2F6%2Fy%29\".
Remove unneeded parentheses around terms \"highlight_red%28+-5%2Ay%2F6%2Fy+%29\"
It becomes \"y%5E3-highlight_green%28+5%2Ay%2F6%2Fy+%29-y%5E3%2By%2B%283%2F6%2Fy%29\".
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Look at \"y%5E3-5%2Ay%2F6%2Fy-y%5E3%2By%2Bhighlight_red%28+%283%2F6%2Fy%29+%29\".
Remove unneeded parentheses around terms \"highlight_red%28+3%2F6%2Fy+%29\"
It becomes \"y%5E3-5%2Ay%2F6%2Fy-y%5E3%2By%2Bhighlight_green%28+3%2F6%2Fy+%29\".
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Look at \"y%5E3-5%2Ay%2F6%2Fy-y%5E3%2By%2Bhighlight_red%28+3+%29%2Fhighlight_red%28+6+%29%2Fy\".
Factors 3 and 6 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes \"y%5E3-5%2Ay%2F6%2Fy-y%5E3%2By%2Bhighlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2Fy\".
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Look at \"y%5E3-5%2Ahighlight_red%28+y+%29%2F6%2Fhighlight_red%28+y+%29-y%5E3%2By%2B1%2F2%2Fy\".
Reduce similar several occurrences of \"highlight_red%28+y+%29\" to
It becomes \"y%5E3-5%2F6-y%5E3%2By%2B1%2F2%2Fy\".
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Look at \"y%5E3-highlight_red%28+5%2F6+%29-y%5E3%2By%2B1%2F2%2Fy\".
Moved \"-5%2F6\" to the right of expression
It becomes \"y%5E3-y%5E3%2By%2B1%2F2%2Fy-highlight_green%28+5%2F6+%29\".
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Look at \"highlight_red%28+y%5E3+%29-highlight_red%28+y%5E3+%29%2By%2B1%2F2%2Fy-5%2F6\".
Eliminated similar terms \"highlight_red%28+y%5E3+%29\",\"highlight_red%28+-y%5E3+%29\" replacing them with \"highlight_green%28+%281-1%29%2Ay%5E3+%29\"
It becomes \"highlight_green%28+%281-1%29%2Ay%5E3+%29%2By%2B1%2F2%2Fy-5%2F6\".
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Look at \"highlight_red%28+%281-1%29%2Ay%5E3+%29%2By%2B1%2F2%2Fy-5%2F6\".
Since \"highlight_red%28+%281-1%29%2Ay%5E3+%29\" has zero as a factor, it should be replaced with a zero
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Look at \"0%2By%2B1%2F2%2Fy-5%2F6\".
Added fractions or integers together
It becomes \"0%2By%2B1%2F2%2Fy-5%2F6\".
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Look at \"highlight_red%28+0+%29%2By%2B1%2F2%2Fy-5%2F6\".
Remove extraneous zero \"highlight_red%28+0+%29\"
It becomes \"y%2B1%2F2%2Fy-5%2F6\".
Result: \"y%2B1%2F2%2Fy-5%2F6\"
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Universal Simplifier and Solver

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Done!

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