document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79009>Question 79009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%2F%285x-2%29-%282x%29%2F%285x%2B1%29 ALIGN=MIDDLE  ALT=\"%284x%29%2F%285x-2%29-%282x%29%2F%285x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56694 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=56694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order to combine the fractions we need to find the LCD. The LCD is the common factor that each denominator can multiply to, so in this case the LCD is \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x-2%29%285x%2B1%29 ALIGN=MIDDLE  ALT=\"%285x-2%29%285x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Notice we can multiply each denominator with the piece that is needed to get to the LCD. So lets multiply each term by the missing piece\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285x%2B1%29%2F%285x%2B1%29%29%28%284x%29%2F%285x-2%29%29-%28%285x-2%29%2F%285x-2%29%29%28%282x%29%2F%285x%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply each fraction by a form of 1 to make the denominators the same\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284x%29%285x%2B1%29%29%2F%28%285x%2B1%29%285x-2%29%29-%28%282x%29%285x-2%29%29%2F%28%285x%2B1%29%285x-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the fractions\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820x%5E2%2B4x%29%2F%28%285x%2B1%29%285x-2%29%29-%2810x%5E2-4x%29%2F%28%285x%2B1%29%285x-2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820x%5E2%2B4x-10x%5E2%2B4x%29%2F%28%285x%2B1%29%285x-2%29%29 ALIGN=MIDDLE  ALT=\"%2820x%5E2%2B4x-10x%5E2%2B4x%29%2F%28%285x%2B1%29%285x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the numerators\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%5E2%2B8x%29%2F%28%285x%2B1%29%285x-2%29%29 ALIGN=MIDDLE  ALT=\"%2810x%5E2%2B8x%29%2F%28%285x%2B1%29%285x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms. This is the simplified answer\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );