document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132660>Question 132660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i have to simplify this \r<BR>\n" );
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document.write( "1/8(3x+1)^(3/2) + 1/4(3x+1)^(1/2)\r<BR>\n" );
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document.write( "^ means to the power of if you didnt know </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96945 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=96945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29%283x%2B1%29%5E%283%2F2%29+%2B+%281%2F4%29%283x%2B1%29%5E%281%2F2%29+ ALIGN=MIDDLE  ALT=\"%281%2F8%29%283x%2B1%29%5E%283%2F2%29+%2B+%281%2F4%29%283x%2B1%29%5E%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29%283x%2B1%29%5E%283%2A%281%2F2%29%29+%2B+%281%2F4%29%283x%2B1%29%5E%281%2F2%29+ ALIGN=MIDDLE  ALT=\"%281%2F8%29%283x%2B1%29%5E%283%2A%281%2F2%29%29+%2B+%281%2F4%29%283x%2B1%29%5E%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%281%2F2%29 ALIGN=MIDDLE  ALT=\"3%2A%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29%28%283x%2B1%29%5E%281%2F2%29%29%5E3+%2B+%281%2F4%29%283x%2B1%29%5E%281%2F2%29+ ALIGN=MIDDLE  ALT=\"%281%2F8%29%28%283x%2B1%29%5E%281%2F2%29%29%5E3+%2B+%281%2F4%29%283x%2B1%29%5E%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the first expression using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28y%2Az%29=%28x%5Ey%29%5Ez ALIGN=MIDDLE  ALT=\"x%5E%28y%2Az%29=%28x%5Ey%29%5Ez\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29%28sqrt%283x%2B1%29%29%5E3+%2B+%281%2F4%29sqrt%283x%2B1%29+ ALIGN=MIDDLE  ALT=\"%281%2F8%29%28sqrt%283x%2B1%29%29%5E3+%2B+%281%2F4%29sqrt%283x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B1%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%283x%2B1%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%2B1%29 ALIGN=MIDDLE  ALT=\"sqrt%283x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=sqrt%283x%2B1%29 ALIGN=MIDDLE  ALT=\"u=sqrt%283x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29u%5E3+%2B+%281%2F4%29u+ ALIGN=MIDDLE  ALT=\"%281%2F8%29u%5E3+%2B+%281%2F4%29u+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=%283x%2B1%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"u=%283x%2B1%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29u%28%281%2F2%29u%5E2+%2B+1%29+ ALIGN=MIDDLE  ALT=\"%281%2F4%29u%28%281%2F2%29u%5E2+%2B+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29u ALIGN=MIDDLE  ALT=\"%281%2F4%29u\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%28sqrt%283x%2B1%29%29%28%281%2F2%29%28sqrt%283x%2B1%29%29%5E2+%2B+1%29+ ALIGN=MIDDLE  ALT=\"%281%2F4%29%28sqrt%283x%2B1%29%29%28%281%2F2%29%28sqrt%283x%2B1%29%29%5E2+%2B+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%2B1%29 ALIGN=MIDDLE  ALT=\"sqrt%283x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > back in for u\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%28sqrt%283x%2B1%29%29%28%281%2F2%29%283x%2B1%29+%2B+1%29+ ALIGN=MIDDLE  ALT=\"%281%2F4%29%28sqrt%283x%2B1%29%29%28%281%2F2%29%283x%2B1%29+%2B+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%2B1%29 ALIGN=MIDDLE  ALT=\"sqrt%283x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B1 ALIGN=MIDDLE  ALT=\"3x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%28sqrt%283x%2B1%29%29%28%281%2F2%293x%2B1%2F2+%2B+1%29+ ALIGN=MIDDLE  ALT=\"%281%2F4%29%28sqrt%283x%2B1%29%29%28%281%2F2%293x%2B1%2F2+%2B+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%28sqrt%283x%2B1%29%29%28%281%2F2%293x%2B3%2F2%29+ ALIGN=MIDDLE  ALT=\"%281%2F4%29%28sqrt%283x%2B1%29%29%28%281%2F2%293x%2B3%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%2B1%29%281%2F4%29%28%281%2F2%293x%2B3%2F2%29+ ALIGN=MIDDLE  ALT=\"sqrt%283x%2B1%29%281%2F4%29%28%281%2F2%293x%2B3%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283x%2B1%29%28%281%2F8%293x%2B3%2F8%29+ ALIGN=MIDDLE  ALT=\"sqrt%283x%2B1%29%28%281%2F8%293x%2B3%2F8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F8%293x%2B3%2F8%29sqrt%283x%2B1%29+ ALIGN=MIDDLE  ALT=\"%28%281%2F8%293x%2B3%2F8%29sqrt%283x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms\r<BR>\n" );
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