document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144500>Question 144500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply and express the product in the simplest form. <BR>\n" );
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document.write( "(x - 3)^3/2^3 * 1^2/(x-3)^2 \r<BR>\n" );
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document.write( "Could someone explain how I should solve that problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105240 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=105240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x+-+3%29%5E3%2F2%5E3%29+%2A+%281%5E2%2F%28x-3%29%5E2%29+ ALIGN=MIDDLE  ALT=\"%28%28x+-+3%29%5E3%2F2%5E3%29+%2A+%281%5E2%2F%28x-3%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiplying alegbraic fractions uses the same 'rules' as multiplication of plain old regualr fractions.\r<BR>\n" );
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document.write( "You make a simple product of the values in the numerator. Then do the same for the products of the terms in the denominator. \r<BR>\n" );
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document.write( "Then simply (cancel out) as best you can.\r<BR>\n" );
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document.write( "Finally multiply (expand) as makes sense.\r<BR>\n" );
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document.write( "In this case:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x+-+3%29%5E3%2F2%5E3%29+%2A+%281%5E2%2F%28x-3%29%5E2%29+ ALIGN=MIDDLE  ALT=\"%28%28x+-+3%29%5E3%2F2%5E3%29+%2A+%281%5E2%2F%28x-3%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply the two numerators and the two denominators, keeping their products \"on their side of the division sign'.<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x+-+3%29%5E3%2A+%281%5E2%29%29%2F%282%5E3+%2A+%28x-3%29%5E2%29+ ALIGN=MIDDLE  ALT=\"%28%28x+-+3%29%5E3%2A+%281%5E2%29%29%2F%282%5E3+%2A+%28x-3%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can see the term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3 ALIGN=MIDDLE  ALT=\"x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > in both the numerator and the denominator. You can cancel out two of those as follows<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x+-+3%29+%2A+%281%5E2%29%29%2F2%5E3+ ALIGN=MIDDLE  ALT=\"%28%28x+-+3%29+%2A+%281%5E2%29%29%2F2%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now finish your simplification by finding the values for the integer powers<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x+-+3%29+%2A+1%29%2F8+ ALIGN=MIDDLE  ALT=\"%28%28x+-+3%29+%2A+1%29%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Lucky you, in this case, there is nothing left to expand since the 1 can be 'canceled' <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+3%29+%2F8+ ALIGN=MIDDLE  ALT=\"%28x+-+3%29+%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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