document.write( "Question 245988: why dose \"sqrt%284x%5E4%2B36x%2B81%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"2x%5E2%2B9\"
\n" ); document.write( "and not
\n" ); document.write( "=\"2x%5E2%2B6x%2B9\"\r
\n" ); document.write( "\n" ); document.write( "what happens to the 6??
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #179676 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Why does:
\n" ); document.write( "\"sqrt%284x%5E4%2B36x%2B81%29+=+2x%5E2%2B9\" and not \"2x%5E2%2B6x%2B9\"
\n" ); document.write( "Well, you can answer this question by squaring \"2x%5E2%2B6x%2B9\" and see what you get. Let's do that just for fun!
\n" ); document.write( " Simplify.
\n" ); document.write( "\"4x%5E4%2B24x%5E3%2B73x%5E2%2B108x%2B81+%3C%3E+4x%5E4%2B36x%2B81\"
\n" ); document.write( "Now we'll start with the original expression and factor the radicand:
\n" ); document.write( "\"Sqrt%284%5E4%2B36x%2B81%29+=+sqrt%28%282x%5E2%2B9%29%29%5E2\" Take the square root of the right side.
\n" ); document.write( "\"sqrt%284x%5E2%2B36x%2B81%29+=+2x%5E2%2B9\"
\n" ); document.write( "
\n" ); document.write( "
\n" );