SOLUTION: how to simplify x+ 3 + 2/x / 1- 4/x^2

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Question 761739: how to simplify x+ 3 + 2/x / 1- 4/x^2
Answer by khv_maths(12)   (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: x+3+(2/x)/((1-4)/(x^2)) simplifies to x/3+3
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( x+3+(2/x)/((1-4)/(x^2)) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2Fx%5E2+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29,highlight_red%28+1%2Fx+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F%281-4%29+%29,highlight_red%28+x%5E2+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+1%2Fx+%29 to highlight_green%28+x%5E%28-1%2B2%29+%29
It becomes .
Look at .
Moved 3 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -1
It becomes .
Look at .
Removed extra sign in front of -3
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F3+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removing power of one highlight_red%28+%281%29+%29
Look at .
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+-2%2Ax%2F3+%29 replacing them with highlight_green%28+%281-2%2A1%2F3%29%2Ax+%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F3+%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!
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