SOLUTION: Add or Subtract y^3 - 5y/6y - y^3 + y + 3/6y

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Question 173756: Add or Subtract
y^3 - 5y/6y - y^3 + y + 3/6y

Answer by jojo14344(1513)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: y^3-(5y/6/y)-y^3+y+(3/6/y) simplifies to y+1/2/y-5/6
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( y^3-(5y/6/y)-y^3+y+(3/6/y) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Remove unneeded parentheses around terms highlight_red%28+-5%2Ay%2F6%2Fy+%29
It becomes .

Look at .
Remove unneeded parentheses around terms highlight_red%28+3%2F6%2Fy+%29
It becomes .

Look at .
Factors 3 and 6 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes .

Look at .
Reduce similar several occurrences of highlight_red%28+y+%29 to
It becomes .

Look at .
Moved -5%2F6 to the right of expression
It becomes .

Look at .
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 .

Look at .
Since highlight_red%28+%281-1%29%2Ay%5E3+%29 has zero as a factor, it should be replaced with a zero

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!

Thank you,
Jojo

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