document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74898>Question 74898</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495188891/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Divide:<BR>\n" );
document.write( "x^2 - 9x + 20 / 6x - 4 divided by x^2 - 25/2x + 10\r<BR>\n" );
document.write( "\n" );
document.write( "I have made several attempts at this all day long, but have managed to confuse and frustrate myself, could someone please assist me in showing me the proper steps so that I can work my other homework problems?\r<BR>\n" );
document.write( "\n" );
document.write( "S. Milliron </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53816 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=53816\">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=%28%28x%5E2+-+9x+%2B+20%29+%2F+%286x+-+4%29%29%2F%28%28x%5E2+-+25%29%2F%282x+%2B+10%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2+-+9x+%2B+20%29+%2F+%286x+-+4%29%29%2F%28%28x%5E2+-+25%29%2F%282x+%2B+10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Start with the given problem\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-5%29%28x-4%29+%2F+%286x+-+4%29%29%2F%28%28x-5%29%28x%2B5%29%2F%282x+%2B+10%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-5%29%28x-4%29+%2F+%286x+-+4%29%29%2F%28%28x-5%29%28x%2B5%29%2F%282x+%2B+10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Factor the numerators of the 2 fractions. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+9x+%2B+20 ALIGN=MIDDLE  ALT=\"x%5E2+-+9x+%2B+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%28x-4%29 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+25 ALIGN=MIDDLE  ALT=\"x%5E2+-+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%28x%2B5%29 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-5%29%28x-4%29+%2F+%282%283x+-+2%29%29%29%2F%28%28x-5%29%28x%2B5%29%2F%282%28x+%2B+5%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >Factor out a 2 from the 2 denominators\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-5%29%28x-4%29+%2F+%282%283x+-+2%29%29%29%2A%28%282%28x+%2B+5%29%29%2F%28x-5%29%28x%2B5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >Multiply the 2 fractions by multiplying the 1st fraction by the reciprocal of the 2nd fraction\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28x-5%29%29%28x-4%29+%2F+%282%283x+-+2%29%29%29%2A%28%282%2Across%28%28x+%2B+5%29%29%29%2F%28cross%28%28x-5%29%29%2Across%28%28x%2B5%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >Cancel like terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-4%29+%2F+%282%283x+-+2%29%29%29%2A%28%282%29%2F1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-4%29+%2F+%282%283x+-+2%29%29%29%2A%28%282%29%2F1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >This is what your left with after the cancellations\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28x-4%29+%2F+%282%283x+-+2%29%29%29 ALIGN=MIDDLE  ALT=\"%282%28x-4%29+%2F+%282%283x+-+2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Combine the 2 fractions by multiplying them\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%282%29%28x-4%29+%2F+%28cross%282%29%283x+-+2%29%29%29 ALIGN=MIDDLE  ALT=\"%28cross%282%29%28x-4%29+%2F+%28cross%282%29%283x+-+2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Notice the 2's cancel\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%2F%283x-2%29 ALIGN=MIDDLE  ALT=\"%28x-4%29%2F%283x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >This is the final simplified form. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );