document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066217>Question 1066217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, \r<BR>\n" );
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document.write( "I am being introduced to algebra and I don't understand how to simplify the following.\r<BR>\n" );
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document.write( "X^-3 + X^-2 <BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "          X </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681401 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=681401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Hi, \r<BR>\n" );
document.write( "\n" );
document.write( "I am being introduced to algebra and I don't understand how to simplify the following.\r<BR>\n" );
document.write( "\n" );
document.write( "X^-3 + X^-2 <BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "          X<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%28-+3%29+%2B+x%5E%28-+2%29%29%2Fx ALIGN=MIDDLE  ALT=\"%28x%5E%28-+3%29+%2B+x%5E%28-+2%29%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the correct way to simplify it is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx%5E3+%2B+1%2Fx%5E2%29%2Fx ALIGN=MIDDLE  ALT=\"%281%2Fx%5E3+%2B+1%2Fx%5E2%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We SEPARATE the expression to get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fx%5E3+%2B+1%2Fx%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2Fx%5E3+%2B+1%2Fx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%F7%22 ALIGN=MIDDLE  ALT=\"%22%F7%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F1 ALIGN=MIDDLE  ALT=\"x%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+%2B+x%29%2Fx%5E3%29 ALIGN=MIDDLE  ALT=\"%281+%2B+x%29%2Fx%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%F7%22 ALIGN=MIDDLE  ALT=\"%22%F7%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F1 ALIGN=MIDDLE  ALT=\"x%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Multiplying left expression by LCD, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+%2B+x%29%2Fx%5E3 ALIGN=MIDDLE  ALT=\"%281+%2B+x%29%2Fx%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2A%22 ALIGN=MIDDLE  ALT=\"%22%2A%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >------- Applying KEEP, CHANGE, FLIP<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C5%2C+%281+%2B+x%29%2Fx%5E4%2C+or%2C+1%2Fx%5E4+%2B+1%2Fx%5E3%2C+or%2C+x%5E%28-+4%29+%2B+x%5E%28-+3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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