SOLUTION: Divide and, if possible, simplify {{{ ((x^2-9) / x^2 ) / ( (x^5 + 3x^4) / (x + 2)) }}}

Algebra ->  Rational-functions -> SOLUTION: Divide and, if possible, simplify {{{ ((x^2-9) / x^2 ) / ( (x^5 + 3x^4) / (x + 2)) }}}      Log On


   

Question 216512: Divide and, if possible, simplify
+%28%28x%5E2-9%29+%2F+x%5E2+%29+%2F+%28+%28x%5E5+%2B+3x%5E4%29+%2F+%28x+%2B+2%29%29+
Answer by ichudov(507) About Me  (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: %28%28x%5E2-9%29%2Fx%5E2%29%2F%28%28x%5E5%2B3x%5E4%29%2F%28x%2B2%29%29 simplifies to %28x%5E2-9%29%2Fx%5E2%2F%28x%5E5%2B3%2Ax%5E4%29%2A%28x%2B2%29
  • Text form: ((x^2-9)/x^2)/((x^5+3x^4)/(x+2)) simplifies to (x^2-9)/x^2/(x^5+3*x^4)*(x+2)
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( ((x^2-9)/x^2)/((x^5+3x^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+%28x%5E2-9%29+%29,highlight_red%28+1%2Fx%5E2+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F%28x%5E5%2B3%2Ax%5E4%29+%29,highlight_red%28+%28x%2B2%29+%29
It becomes .
Result: %28x%5E2-9%29%2Fx%5E2%2F%28x%5E5%2B3%2Ax%5E4%29%2A%28x%2B2%29

Universal Simplifier and Solver


Done!