document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=116864>Question 116864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to express the following rational expressions in lowest terms Can you please help with the following questions. I am so confused and I don't quiet understand. There are five questions that I tried and can't get. PLEASE HELP ME!!!!\r<BR>\n" );
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document.write( "1) x/x+xy\r<BR>\n" );
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document.write( "2)3x^2+6x/3x^2+9x\r<BR>\n" );
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document.write( "3)x^2+2x+1/x+1\r<BR>\n" );
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document.write( "4)x^2+3x-18/2x-6\r<BR>\n" );
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document.write( "5)2x^2-4x-6/x-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85042 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=85042\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have to express the following rational expressions in lowest terms Can you please help with the following questions. I am so confused and I don't quiet understand. There are five questions that I tried and can't get. PLEASE HELP ME!!!!<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28%28x%2Bxy%29%29 ALIGN=MIDDLE  ALT=\"x%2F%28%28x%2Bxy%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor x out in the denominator, then cancel with the x in the numerator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x%281%2By%29%29 ALIGN=MIDDLE  ALT=\"x%2F%28x%281%2By%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28y%2B1%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28y%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "2)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283x%5E2%2B6x%29%29%2F%28%283x%5E2%2B9x%29%29 ALIGN=MIDDLE  ALT=\"%28%283x%5E2%2B6x%29%29%2F%28%283x%5E2%2B9x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor out 3x in both the numerator and denominator; cancel the 3x's<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%28x%2B2%29%29%2F%283x%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%283x%28x%2B2%29%29%2F%283x%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "3)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B2x%2B1%29%29%2F%28%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B2x%2B1%29%29%2F%28%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can factor the numerator here; cancel one of the (x+1)'s leaving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B1%29%28x%2B1%29%29%2F%28%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B1%29%28x%2B1%29%29%2F%28%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x+1<BR>\n" );
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document.write( "4)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B3x-18%29%29%2F%28%282x-6%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B3x-18%29%29%2F%28%282x-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor the numerator and factor out 2 in the denominator, cancel the (x-3)'s:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B6%29%28x-3%29%29%2F%282%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B6%29%28x-3%29%29%2F%282%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B6%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%28x%2B6%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "5)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E2-4x-6%29%29%2F%28%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E2-4x-6%29%29%2F%28%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor the numerator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x-6%29%28x%2B1%29%29%2F%28%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28%282x-6%29%28x%2B1%29%29%2F%28%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice now that we can factor (2x-6) in the numerator, then we can cancel<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28x-3%29%28x%2B1%29%29%2F%28%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%282%28x-3%29%28x%2B1%29%29%2F%28%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2(x+1)<BR>\n" );
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document.write( "Study what we did here diligently, and it will all makes sense, you can email me if you have a question about it.<BR>\n" );
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