document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=353584>Question 353584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operations and simplify:<BR>\n" );
document.write( "z-7/z-9 - z+1/z+9 + z-45/z^2-81<BR>\n" );
document.write( "I came up with 3/z+9\r<BR>\n" );
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document.write( "Multiply.<BR>\n" );
document.write( "(5sqrt2 - 10sqrt5)(3sqrt2 + 6sqrt5)\r<BR>\n" );
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document.write( "Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.<BR>\n" );
document.write( "^3sqrtY^7 ^3sqrt16Y^8\r<BR>\n" );
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document.write( "Any help is very much appreciated.  Thank you in advance.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #252641 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=252641\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First one: You have an addition error somewhere. The answer should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2811%2F%28z%2B9%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%2811%2F%28z%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Check your work to see if you can spot the error.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2Asqrt%282%29+-+10%2Asqrt%285%29%29%283%2Asqrt%282%29+%2B+6%2Asqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%285%2Asqrt%282%29+-+10%2Asqrt%285%29%29%283%2Asqrt%282%29+%2B+6%2Asqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the FOIL method,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2Asqrt%282%29+-+10%2Asqrt%285%29%29%283%2Asqrt%282%29+%2B+6%2Asqrt%285%29%29=15%2A2%2B30%2Asqrt%2810%29-30%2Asqrt%2810%29-60%2A5 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2Asqrt%282%29+-+10%2Asqrt%285%29%29%283%2Asqrt%282%29+%2B+6%2Asqrt%285%29%29=30-300 ALIGN=MIDDLE  ALT=\"%285%2Asqrt%282%29+-+10%2Asqrt%285%29%29%283%2Asqrt%282%29+%2B+6%2Asqrt%285%29%29=30-300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2Asqrt%282%29+-+10%2Asqrt%285%29%29%283%2Asqrt%282%29+%2B+6%2Asqrt%285%29%29=highlight%28-270%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%28y%5E7%29%29%2Aroot%283%2C%2816y%5E8%29%29=root%283%2C%2816%2Ay%5E%287%2B8%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%28y%5E7%29%29%2Aroot%283%2C%2816y%5E8%29%29=root%283%2C%2816%2Ay%5E%2815%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%28y%5E7%29%29%2Aroot%283%2C%2816y%5E8%29%29=root%283%2C%282%2A8%2Ay%5E%2815%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%28y%5E7%29%29%2Aroot%283%2C%2816y%5E8%29%29=root%283%2C%282%29%29%2Aroot%283%2C8y%5E%2815%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%28y%5E7%29%29%2Aroot%283%2C%2816y%5E8%29%29=highlight_green%282y%5E5%2Aroot%283%2C%282%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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