document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=725385>Question 725385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Simplify and give Restrictions.\r<BR>\n" );
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document.write( "x^3 + 6x^2 + 9x / x^3 - 9x\r<BR>\n" );
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document.write( "Thank you for your help! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444593 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=444593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this factors to:\r<BR>\n" );
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document.write( "x * (x^2 + 6x + 9) divided by x * (x^2 - 9) which factors to:\r<BR>\n" );
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document.write( "x * (x + 3) * (x + 3) divided by x * (x + 3) * (x - 3)\r<BR>\n" );
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document.write( "The x in the numerator and denominator cancel out.\r<BR>\n" );
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document.write( "The (x + 3) in the numerator and denominator cancel out.\r<BR>\n" );
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document.write( "you are left with:\r<BR>\n" );
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document.write( "(x + 3) / (x - 3)\r<BR>\n" );
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document.write( "that's the simplified equation.\r<BR>\n" );
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document.write( "the restrictions come from the original factored equation, which is:\r<BR>\n" );
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document.write( "x * (x + 3) * (x + 3) divided by x * (x + 3) * (x - 3)\r<BR>\n" );
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document.write( "x in the denominator can't be equal to 0.\r<BR>\n" );
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document.write( "x can't be equal to -3, otherwise (x + 3) in the denominator would be equal to 0.\r<BR>\n" );
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document.write( "x can't be equal to 3, otherwise (x - 3) in the denominator would be equal to 0.\r<BR>\n" );
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