document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74460>Question 74460</A>: <I><SPAN STYLE=\"word-break: break-all;\"> this was on my test, I need to correct it, but I can't figure it out:\r<BR>\n" );
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document.write( "Simplify the following complex fraction.\r<BR>\n" );
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document.write( "  2     3<BR>\n" );
document.write( "---- - ----<BR>\n" );
document.write( " x-3   x+3<BR>\n" );
document.write( "____________<BR>\n" );
document.write( " 5      4<BR>\n" );
document.write( "---  - ----<BR>\n" );
document.write( "x^2-9  x-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53459 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=53459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the numerator is:<BR>\n" );
document.write( "[(2(x+3)-3(x-3)]/(x-3)(x+3)<BR>\n" );
document.write( "(2x+6-3x+9)/(x-3)(x+3)<BR>\n" );
document.write( "(-x+15)/(x-3)(x+3)<BR>\n" );
document.write( "now the denominator<BR>\n" );
document.write( "[5(x-3)-4(x^2-9)]/(x^2-9)(x-3)<BR>\n" );
document.write( "(5x-15-4x^2+36)/(x-3)(x+3)(x-3)<BR>\n" );
document.write( "(-4x^2+5x+21)/(x-3)(x+3)(x-3)<BR>\n" );
document.write( "(-x+3)(4x+7)/(x-3)(x+3)(x-3)<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "now we invert the denominator & multiply<BR>\n" );
document.write( "(-x+15)/(x-3)(x+3)*(x-3)(x+3)(x-3)/(-x+3)(4x+7) now we cancel out all common terms in the numerator & the denominator:<BR>\n" );
document.write( "(-x+15)(x-3)/(-x+3)(4x+7) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );