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??
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Algebra.Com's Answer #179674 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
(2x^2+9)^2=(2x^2+9)(2x^2+9)
\n" ); document.write( "use FOIL
\n" ); document.write( "first
\n" ); document.write( "2x^2*2x^2=4x^4 no,problem here
\n" ); document.write( "outer
\n" ); document.write( "2x^2*9
\n" ); document.write( "inner
\n" ); document.write( "9*2x^2
\n" ); document.write( "last
\n" ); document.write( "9*9=81 no problem here
\n" ); document.write( "add 2x^2*9and 9*2x^2
\n" ); document.write( "18x^2+18x^2=36x^2
\n" ); document.write( "so we have 4x^4+36x^2+81 not 36x\r
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\n" ); document.write( "\n" ); document.write( "{2x^2+6x+9}^2 would be 4x^4+24x^3+72x^2+108x+81
\n" ); document.write( "neither work out to be 4x^4+36x+81\r
\n" ); document.write( "\n" ); document.write( "I suspect that you copied the original sqrt incorrectly ie sqrt(4x^4+36x+81)
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