document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56512>Question 56512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me simplify and reduce:<BR>\n" );
document.write( "x^2+2x/(4x-3)/6x^3/(8x^2-2x-3)<BR>\n" );
document.write( "thanks!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38350 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=38350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simplify and reduce:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2x%29%2F%284x-3%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2x%29%2F%284x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E3%2F%288x%5E2-2x-3%29 ALIGN=MIDDLE  ALT=\"6x%5E3%2F%288x%5E2-2x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Flip and multiply the second expression:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B2x%29%2F%284x-3%29%29%2A%28%288x%5E2-2x-3%29%2F%286x%5E3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B2x%29%2F%284x-3%29%29%2A%28%288x%5E2-2x-3%29%2F%286x%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Factor everything completely, I'm using the ac method for the trinomial:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x%2B2%29%2F%284x-3%29%29%2A%28%288x%5E2-6x%2B4x-3%29%2F%28x%2A6x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28x%28x%2B2%29%2F%284x-3%29%29%2A%28%288x%5E2-6x%2B4x-3%29%2F%28x%2A6x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Since you see that an x was factored out of (x^2+2x), factor out an x from 6x^3, so that they can cancel.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x%2B2%29%2F%284x-3%29%29%2A%28%282x%284x-3%29%2B1%284x-3%29%29%2F%28x%2A6x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28x%28x%2B2%29%2F%284x-3%29%29%2A%28%282x%284x-3%29%2B1%284x-3%29%29%2F%28x%2A6x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x%2B2%29%2F%284x-3%29%29%2A%28%282x%2B1%29%284x-3%29%2F%28x%2A6x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28x%28x%2B2%29%2F%284x-3%29%29%2A%28%282x%2B1%29%284x-3%29%2F%28x%2A6x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Cancel all the numerators and denominators that match each other:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28x%29%29%2A%28x%2B2%29%2Fcross%28%284x-3%29%29%29%2A%28%282x%2B1%29%2Across%28%284x-3%29%29%2F%28cross%28%28x%29%29%2A6x%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  Multiply what's left:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2B2%29%282x%2B1%29%2F6x%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2B2%29%282x%2B1%29%2F6x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );