document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175243>Question 175243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you guys please help me through these two problems:\r<BR>\n" );
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document.write( "instructions say simplify each sum:<BR>\n" );
document.write( "(-3x)/(x^2-9) + (4)/(2x-6)\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "these instructions say simplify each complex fraction:<BR>\n" );
document.write( "(-3)/(5/x+y)<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 #130416 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=130416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simplify each sum:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3x%29%2F%28x%5E2-9%29 ALIGN=MIDDLE  ALT=\"%28-3x%29%2F%28x%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%29%2F%282x-6%29 ALIGN=MIDDLE  ALT=\"%284%29%2F%282x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The 1st denominator is the \"difference of squares\"; the 2nd denominator can also be factored;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3x%29%2F%28%28x-3%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28-3x%29%2F%28%28x-3%29%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%29%2F%282%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%284%29%2F%282%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The common denominator will be 2(x+3)(x-3)so we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28-3x%29+%2B+4%28x%2B3%29%29%2F%282%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%282%28-3x%29+%2B+4%28x%2B3%29%29%2F%282%28x%2B3%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6x+%2B+4x+%2B+12%29%2F%282%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28-6x+%2B+4x+%2B+12%29%2F%282%28x%2B3%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2x+%2B+12%29%2F%282%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28-2x+%2B+12%29%2F%282%28x%2B3%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor out 2 in the numerator, then cancel the twos<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28-x+%2B+6%29%2F%282%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"2%28-x+%2B+6%29%2F%282%28x%2B3%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-x+%2B+6%29%2F%28%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28-x+%2B+6%29%2F%28%28x%2B3%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "and<BR>\n" );
document.write( "these instructions say simplify each complex fraction:<BR>\n" );
document.write( "(-3)/(5/x+y)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "When dividing fractions invert the dividing fraction and multiply<BR>\n" );
document.write( "-3 * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2By%29%29%2F5 ALIGN=MIDDLE  ALT=\"%28%28x%2By%29%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283%28x%2By%29%29%2F5 ALIGN=MIDDLE  ALT=\"-%283%28x%2By%29%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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