document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106371>Question 106371</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Question 54.  This is dealing with adding/subtracting rational expressions \r<BR>\n" );
document.write( "\n" );
document.write( "(the below are supposed to be fractions, but I didn't know how to write them in here so you'd understand.  Sorry if it doesn't come across pretty)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " 2    -   3<BR>\n" );
document.write( "___      ___\r<BR>\n" );
document.write( "\n" );
document.write( "5w+10   2w-4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is what I have so far, but I am a bit confused.\r<BR>\n" );
document.write( "\n" );
document.write( "I know that I need to find the LCD.  Because of the numerators the way they are, I know that they are:\r<BR>\n" );
document.write( "\n" );
document.write( "5w+10  which can be factored to 5(w+2)<BR>\n" );
document.write( "2w-4   which can be factored to 2(w-2)\r<BR>\n" );
document.write( "\n" );
document.write( "So, still they don't match as they have in other equations.  \r<BR>\n" );
document.write( "\n" );
document.write( "2*2(w-2)     -     3*5(w+2)<BR>\n" );
document.write( "___________        __________<BR>\n" );
document.write( "5(w+2)*2(w-2)      2(w-2)*5(w+2)                Not sure if I did that right\r<BR>\n" );
document.write( "\n" );
document.write( "This then becomes:\r<BR>\n" );
document.write( "\n" );
document.write( "4(w-2)        -     15(w+2)<BR>\n" );
document.write( "_________         __________<BR>\n" );
document.write( "5(w+2)*2(w-2)     2(w-2)*5(w+2)\r<BR>\n" );
document.write( "\n" );
document.write( "I am going to stop there, because I have a horrible feeling that I am way off track.  Can you please help?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77383 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77383\">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=%282%2F%285w%2B10%29%29-%283%2F%282w-4%29%29 ALIGN=MIDDLE  ALT=\"%282%2F%285w%2B10%29%29-%283%2F%282w-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "You were spot on as far as you went, I think you needed to recognize that\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29+%28a-b%29=+a%5E2+-+b%5E2 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29+%28a-b%29=+a%5E2+-+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "or, as it applies to your situation:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B2%29+%28w-2%29=+w%5E2+-+4 ALIGN=MIDDLE  ALT=\"%28w%2B2%29+%28w-2%29=+w%5E2+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "hence, you end up with the following ugliness:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%28w-2%29%2F10%28w%5E2-4%29%29-%2815%28w%2B2%29%2F10%28w%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%284%28w-2%29%2F10%28w%5E2-4%29%29-%2815%28w%2B2%29%2F10%28w%5E2-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Simplifying as much as possible yields:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-11w-38%29%2F%2810w%5E2-40%29 ALIGN=MIDDLE  ALT=\"%28-11w-38%29%2F%2810w%5E2-40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );