document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=544648>Question 544648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify the fractional expression:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%281%2B%28x%5E3+-+1%2F4x%5E3%29%5E2%29 ALIGN=MIDDLE  ALT=\"+sqrt%281%2B%28x%5E3+-+1%2F4x%5E3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is the last question i have in this section an stumped on where to start. Tinking to start/:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%281%2B%28x%5E6+-+1%2F4x%5E6%29%29 ALIGN=MIDDLE  ALT=\"+sqrt%281%2B%28x%5E6+-+1%2F4x%5E6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%281%2B%28x%5E6%284x%5E6%29%2F4x%5E6+-+1%2F4x%5E6%29%29 ALIGN=MIDDLE  ALT=\"+sqrt%281%2B%28x%5E6%284x%5E6%29%2F4x%5E6+-+1%2F4x%5E6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "next<BR>\n" );
document.write( "simplify:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%281%2B%284x%5E12+-+1%29%2F4x%5E6%29%29 ALIGN=MIDDLE  ALT=\"+sqrt%281%2B%284x%5E12+-+1%29%2F4x%5E6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%284x%5E6%2F4x%5E6+%2B+%284x%5E12+-+1%29%2F4x%5E6%29%29 ALIGN=MIDDLE  ALT=\"+sqrt%284x%5E6%2F4x%5E6+%2B+%284x%5E12+-+1%29%2F4x%5E6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28%284x%5E6+%2B+4x%5E12-+1%29%29%2Fsqrt%284x%5E6%29%29 ALIGN=MIDDLE  ALT=\"+sqrt%28%284x%5E6+%2B+4x%5E12-+1%29%29%2Fsqrt%284x%5E6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28%284x%5E6+%2B+4x%5E12-+1%29%29%2F%282%2Aabs%28x%5E3%29%29%29%29%29 ALIGN=MIDDLE  ALT=\"+sqrt%28%284x%5E6+%2B+4x%5E12-+1%29%29%2F%282%2Aabs%28x%5E3%29%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Where do i go from here. Assuming i have done it correctly so far. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355219 by </B><A HREF=/tutors/aboutme.mpl?userid=friesr><B>friesr(113)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=friesr><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=355219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> okay, took me a few tims thru but got the answer. Thanks to JBarnum for getting me thinking of factoring.\r<BR>\n" );
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document.write( "---\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28+1+%2B+%28x%5E3+-+1%2F%284x%5E3%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28+1+%2B+%28x%5E3+-+1%2F%284x%5E3%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "factor (a - b)^2 = a^2 - 2ab - b^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28+1+%2B+%28x%5E3%29%5E2+-+2x%5E3%281%2F%284x%5E3%29%29+%2B+%28+1%2F%284x%5E3%29%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281+%2B+x%5E6+-+1%2F2+%2B+1%2F%2816x%5E6%29%29 ALIGN=MIDDLE  ALT=\"sqrt%281+%2B+x%5E6+-+1%2F2+%2B+1%2F%2816x%5E6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E6+%2B+1%2F%2816x%5E2%29+%2B+1%2F2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E6+%2B+1%2F%2816x%5E2%29+%2B+1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "multiply thru by x^6/x^6 to get rid of the x^6 in the denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%5E12+%2B+x%5E6%2F2+%2B+1%2F16%29%281%2Fx%5E6%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%5E12+%2B+x%5E6%2F2+%2B+1%2F16%29%281%2Fx%5E6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "let U = x^6\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28U%5E2+%2B+U%2F2+%2B+1%2F16%29%281%2FU%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28U%5E2+%2B+U%2F2+%2B+1%2F16%29%281%2FU%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Factor<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28U+%2B+1%2F4%29%5E2+%281%2FU%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28U+%2B+1%2F4%29%5E2+%281%2FU%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28U+%2B+1%2F4%29+%2A+sqrt%281%2FU%29 ALIGN=MIDDLE  ALT=\"%28U+%2B+1%2F4%29+%2A+sqrt%281%2FU%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "bring back in the X^6 in place of U.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E6+%2B+1%2F4%29%2A+sqrt%281%2Fx%5E6%29 ALIGN=MIDDLE  ALT=\"%28x%5E6+%2B+1%2F4%29%2A+sqrt%281%2Fx%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E6%2B+1%2F4%29%2Fx%5E3 ALIGN=MIDDLE  ALT=\"%28x%5E6%2B+1%2F4%29%2Fx%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply thru by 4/4 to get rid of 1/4 fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E6+%2B+1%29%2F+4x%5E3 ALIGN=MIDDLE  ALT=\"%284x%5E6+%2B+1%29%2F+4x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E6%29%2F%284x%5E3%29+%2B+1%2F%284x%5E3%29 ALIGN=MIDDLE  ALT=\"%284x%5E6%29%2F%284x%5E3%29+%2B+1%2F%284x%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+=+1%2F%284x%5E3%29 ALIGN=MIDDLE  ALT=\"x%5E3+=+1%2F%284x%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solution </SPAN>\n" );
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