SOLUTION: Simplify the following (x+4)^2/x+5 times x-4/x^2-16 / indicates fraction

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Question 34138: Simplify the following
(x+4)^2/x+5 times x-4/x^2-16
/ indicates fraction
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%2B4%29%5E2%2F%28x%2B5%29%29%2A%28%28x-4%29%2F%28x%5E2-16%29%29 simplifies to %28x%2B4%29%2F%28x%2B5%29
  • Text form: ((x+4)^2/(x+5))*((x-4)/(x^2-16)) simplifies to (x+4)/(x+5)
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( ((x+4)^2/(x+5))*((x-4)/(x^2-16)) )
  • 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%2B4%29%5E2+%29,highlight_red%28+1%2F%28x%2B5%29+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+%28x-4%29+%29,highlight_red%28+1%2F%28x%5E2-16%29+%29
It becomes .
Look at .
Canceled out common factors (x-(-4))
Look at %28x%2B4%29%2F%28x%2B5%29%2Ahighlight_red%28+%28x-4%29+%29%2Fhighlight_red%28+%28x-4%29+%29.
Reduce similar several occurrences of highlight_red%28+%28x-4%29+%29 to
It becomes %28x%2B4%29%2F%28x%2B5%29.
Result: %28x%2B4%29%2F%28x%2B5%29

Universal Simplifier and Solver


Done!