document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74436>Question 74436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I need help with adding and subtracting with unlike denominators. If you could do this 1 problem I would very much appriceate it!\r<BR>\n" );
document.write( "\n" );
document.write( "1. (2x+1)/(3x-1) - (x+4)/(x-2)\r<BR>\n" );
document.write( "\n" );
document.write( "Thank You!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53441 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=53441\">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=%282x%2B1%29%2F%283x-1%29+-+%28x%2B4%29%2F%28x-2%29+ ALIGN=MIDDLE  ALT=\"%282x%2B1%29%2F%283x-1%29+-+%28x%2B4%29%2F%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The LCD is (3x-1)(x-2). So we multiply the terms to get to the LCD<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-2%29%2F%28x-2%29%29%28%282x%2B1%29%2F%283x-1%29%29+-+%28%283x-1%29%2F%283x-1%29%29%28%28x%2B4%29%2F%28x-2%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >Multiply both terms by a clever form of 1 to get to the LCD<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-2%29%282x%2B1%29%29%2F%28%283x-1%29%28x-2%29%29+-+%28%283x-1%29%28x%2B4%29%29%2F%28%283x-1%29%28x-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-2%29%282x%2B1%29-%283x-1%29%28x%2B4%29%29%2F%28%283x-1%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-2%29%282x%2B1%29-%283x-1%29%28x%2B4%29%29%2F%28%283x-1%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >foil the two sets of parenthesis<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2-3x-2-3x%5E2-11x%2B4%29%2F%28%283x-1%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%282x%5E2-3x-2-3x%5E2-11x%2B4%29%2F%28%283x-1%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Add like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-x%5E2-14x%2B2%29%2F%28%283x-1%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%28-x%5E2-14x%2B2%29%2F%28%283x-1%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >There's your simplified answer<BR>\n" );
document.write( "Note: you can graph these expressions and you'll see that they're equal\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+%28-x%5E2-14x%2B2%29%2F%28%283x-1%29%28x-2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-x%5E2-14x%2B2%29%2F%28%283x-1%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"%28-x%5E2-14x%2B2%29%2F%28%283x-1%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+%282x%2B1%29%2F%283x-1%29+-+%28x%2B4%29%2F%28x-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%2F%283x-1%29+-+%28x%2B4%29%2F%28x-2%29+ ALIGN=MIDDLE  ALT=\"%282x%2B1%29%2F%283x-1%29+-+%28x%2B4%29%2F%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So this shows that they are both equal. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );