document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74501>Question 74501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you subtract 3x/2x-3 - 3x-6/2x^2+x-6? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53527 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=53527\">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=+%283x%2F%282x-3%29%29+-+%28%283x-6%29%2F%282x%5E2%2Bx-6%29%29+ ALIGN=MIDDLE  ALT=\"+%283x%2F%282x-3%29%29+-+%28%283x-6%29%2F%282x%5E2%2Bx-6%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "factor the second fraction ... both the numerator and denominator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%2F%282x-3%29%29+-+%28%283x-6%29%2F%28%282x-3%29%28x%2B2%29%29%29+ ALIGN=MIDDLE  ALT=\"+%283x%2F%282x-3%29%29+-+%28%283x-6%29%2F%28%282x-3%29%28x%2B2%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We now need to find common denominators, in this case ... (2x-3)(x+2) ... since the first fraction is only missing the (x+2), multiply the top and bottom by (x+2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%283x%28x%2B2%29%29%2F%28%282x-3%29%28x%2B2%29%29%29+-+%28%283x-6%29%2F%28%282x-3%29%28x%2B2%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that we have common denominators we can place both numerators over a single denominator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%28x%2B2%29+-+%283x-6%29%29%2F%28%282x-3%29%28x%2B2%29%29%29+ ALIGN=MIDDLE  ALT=\"+%283x%28x%2B2%29+-+%283x-6%29%29%2F%28%282x-3%29%28x%2B2%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distribute the 3x across the first quantity and the negative over the second.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%5E2+%2B+6x+-+3x+%2B+6%29%2F%28%282x-3%29%28x%2B2%29%29+ ALIGN=MIDDLE  ALT=\"+%283x%5E2+%2B+6x+-+3x+%2B+6%29%2F%28%282x-3%29%28x%2B2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine like terms in the numerator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283x%5E2+%2B3x+%2B6%29%2F%28%282x-3%29%28x%2B2%29%29%29+ ALIGN=MIDDLE  ALT=\"+%283x%5E2+%2B3x+%2B6%29%2F%28%282x-3%29%28x%2B2%29%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=+%283%28x%5E2%2Bx%2B2%29%29%2F%28%282x-3%29%28x%2B2%29%29%29+ ALIGN=MIDDLE  ALT=\"+%283%28x%5E2%2Bx%2B2%29%29%2F%28%282x-3%29%28x%2B2%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is as simplified as it can get\r<BR>\n" );
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