document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=238557>Question 238557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me. I really do not understand this. Thanks!<BR>\n" );
document.write( "Add simplify if possible<BR>\n" );
document.write( "6z/z^2-36+z/z-6 (these are factions not dividing)\r<BR>\n" );
document.write( "\n" );
document.write( "Factor completely<BR>\n" );
document.write( "25s^2-121 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175349 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=175349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add simplify if possible<BR>\n" );
document.write( ";<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286z%29%2F%28z%5E2-36%29 ALIGN=MIDDLE  ALT=\"%286z%29%2F%28z%5E2-36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2F%28z-6%29 ALIGN=MIDDLE  ALT=\"z%2F%28z-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The 1st denominator is the \"difference of squares\" and can be factored to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286z%29%2F%28%28z%2B6%29%28x-6%29%29 ALIGN=MIDDLE  ALT=\"%286z%29%2F%28%28z%2B6%29%28x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2F%28z-6%29 ALIGN=MIDDLE  ALT=\"z%2F%28z-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(z-6)(z+6) would be the common denominator so we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286z+%2B+z%28z%2B6%29%29%2F%28%28z%2B6%29%28x-6%29%29 ALIGN=MIDDLE  ALT=\"%286z+%2B+z%28z%2B6%29%29%2F%28%28z%2B6%29%28x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286z+%2B+z%5E2+%2B+6z%29%2F%28%28z%2B6%29%28x-6%29%29 ALIGN=MIDDLE  ALT=\"%286z+%2B+z%5E2+%2B+6z%29%2F%28%28z%2B6%29%28x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E2+%2B+12z%29%2F%28%28z%2B6%29%28x-6%29%29 ALIGN=MIDDLE  ALT=\"%28z%5E2+%2B+12z%29%2F%28%28z%2B6%29%28x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%28z+%2B+12%29%2F%28%28z%2B6%29%28x-6%29%29 ALIGN=MIDDLE  ALT=\"z%28z+%2B+12%29%2F%28%28z%2B6%29%28x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Factor completely<BR>\n" );
document.write( "25s^2 - 121<BR>\n" );
document.write( "Both 25 and 121 are perfect squares, you should recognize this as the \"difference of squares\"<BR>\n" );
document.write( "(5s - 11) (5s + 11)<BR>\n" );
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document.write( "Check this by FOILing<BR>\n" );
document.write( "25s^2 + 55s - 55s - 121<BR>\n" );
document.write( "Middle terms cancel<BR>\n" );
document.write( "25s^2 - 121 </SPAN>\n" );
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