document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=21652>Question 21652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 9y 2/3 - 24y 1/3 + 16.\r<BR>\n" );
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document.write( "I'm so lost when it comes to this stuff!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10447 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=10447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what about it?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y%5E%282%2F3%29+-+24y%5E%281%2F3%29+%2B+16 ALIGN=MIDDLE  ALT=\"9y%5E%282%2F3%29+-+24y%5E%281%2F3%29+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "First, lets change variable to remove the fractional part of the powers... like so:\r<BR>\n" );
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document.write( "Let x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"y%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+y%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"x%5E2+=+y%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >}. We therefore get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+-+24x+%2B+16 ALIGN=MIDDLE  ALT=\"9x%5E2+-+24x+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is a straight forward quadratic now, which hopefully can be factorised:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+-+24x+%2B+16 ALIGN=MIDDLE  ALT=\"9x%5E2+-+24x+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3x - 4)(3x - 4)<BR>\n" );
document.write( "ie <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x+-+4%29%5E2 ALIGN=MIDDLE  ALT=\"%283x+-+4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, writing this back into the original variable, y, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%5E%281%2F3%29+-+4%29%5E2 ALIGN=MIDDLE  ALT=\"%283y%5E%281%2F3%29+-+4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope this is clear?\r<BR>\n" );
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document.write( "jon. </SPAN>\n" );
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