SOLUTION: Adding/Subtracting rational expressions y^3 - 5y/6y - y^3 + y + 3/6y

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Question 173558: Adding/Subtracting rational expressions
y^3 - 5y/6y - y^3 + y + 3/6y
Answer by bob123132(33)   (Show Source): You can put this solution on YOUR website!
You need to multiply each by the LCD: which is 6y. You will need to multiply the numerator by it for only the whole number: ex. you multiply the y^3 by 6y because it has no fraction but on the other hand do not multiply the tops of the ones with the 6y as their denominator. You should end up with

Then further simplify:
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: (6y^4-5y-6y^4+6y^2+3)/6/y simplifies to (-5*y+6*y^2+3)/6/y
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (6y^4-5y-6y^4+6y^2+3)/6/y )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Eliminated similar terms highlight_red%28+6%2Ay%5E4+%29,highlight_red%28+-6%2Ay%5E4+%29 replacing them with highlight_green%28+%286-6%29%2Ay%5E4+%29
It becomes .
Look at .
Since highlight_red%28+%286-6%29%2Ay%5E4+%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!
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