document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199243>Question 199243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) If a is a rational number, is it always, sometimes, or never true that a^2-3a over a-3 =a? Explain.\r<BR>\n" );
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document.write( "Please help me! I have no idea what I am doing. lol </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149703 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=149703\">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=%28a%5E2-3a%29%2F%28a-3%29 ALIGN=MIDDLE  ALT=\"%28a%5E2-3a%29%2F%28a-3%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=%28a%28a-3%29%29%2F%28a-3%29 ALIGN=MIDDLE  ALT=\"%28a%28a-3%29%29%2F%28a-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Ahighlight%28%28a-3%29%29%29%2Fhighlight%28%28a-3%29%29 ALIGN=MIDDLE  ALT=\"%28a%2Ahighlight%28%28a-3%29%29%29%2Fhighlight%28%28a-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Across%28%28a-3%29%29%29%2Fcross%28%28a-3%29%29 ALIGN=MIDDLE  ALT=\"%28a%2Across%28%28a-3%29%29%29%2Fcross%28%28a-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2-3a%29%2F%28a-3%29=a ALIGN=MIDDLE  ALT=\"%28a%5E2-3a%29%2F%28a-3%29=a\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E3 ALIGN=MIDDLE  ALT=\"a%3C%3E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the statement is <i>always</i> true.\r<BR>\n" );
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document.write( "Note: \"a\" can be any complex number (it doesn't have to be rational) </SPAN>\n" );
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