document.write( "Question 34138: Simplify the following\r
\n" ); document.write( "\n" ); document.write( "(x+4)^2/x+5 times x-4/x^2-16\r
\n" ); document.write( "\n" ); document.write( "/ indicates fraction
\n" ); document.write( "

Algebra.Com's Answer #20453 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "


\n" ); document.write( "\n" ); document.write( "
    \n" ); document.write( "
  • 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)) )
  • \n" ); document.write( "
  • If you have a website, here's a link to this solution.
  • \n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "
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 .
\n" ); document.write( "
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 .
\n" ); document.write( "
Look at .
Canceled out common factors (x-(-4))
\n" ); document.write( "
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\"
\n" ); document.write( "

Universal Simplifier and Solver

\n" ); document.write( "
Done!
\n" ); document.write( "
\n" ); document.write( "
\n" );