document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209005>Question 209005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Reduce each rational expression to lowest terms.\r<BR>\n" );
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document.write( "3x^2 – 9x + 6 over 10 – 5x<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157996 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=157996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Reduce each rational expression to lowest terms. <BR>\n" );
document.write( "3x^2 – 9x + 6 over 10 – 5x<BR>\n" );
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document.write( "Factor to get:<BR>\n" );
document.write( "[3(x^2-3x+2)]/[5(2-x)]<BR>\n" );
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document.write( "= [3(x-2)(x-1)]/[-5(x-2)]<BR>\n" );
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document.write( "Cancel the common factor (x-2)\r<BR>\n" );
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document.write( "= [3(x-1)]/[-5]<BR>\n" );
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document.write( "= (-5/3)(x-1)<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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