SOLUTION: 7/x-1 + 2/x+1 = 3x/x^2-1

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Question 437153: 7/x-1 + 2/x+1 = 3x/x^2-1
Answer by oberobic(2304)   (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: 7/x-1+2/x+1=3x/x^2-1 simplifies to 6/x+1=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 7/x-1+2/x+1=3x/x^2-1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Added fractions or integers together
It becomes .

Look at .
Moved 0 to the right of expression
It becomes .

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

Look at .
Eliminated similar terms highlight_red%28+7%2Fx+%29,highlight_red%28+2%2Fx+%29 replacing them with highlight_green%28+%287%2B2%29%2Fx+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+9+%29
It becomes .

Look at .
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E%281-2%29+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -1
It becomes .

Look at .
Negative power changes multiplication to division
It becomes .

Look at .
Removing power of one highlight_red%28+1+%29

Look at .
Moved these terms to the left highlight_green%28+-3%2Fx+%29,highlight_green%28+1+%29
It becomes .

Look at .
Eliminated similar terms highlight_red%28+9%2Fx+%29,highlight_red%28+-3%2Fx+%29 replacing them with highlight_green%28+%289-3%29%2Fx+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!

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