document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147258>Question 147258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Subtract the fractions:\r<BR>\n" );
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document.write( "[2/(5w + 10)] - [3/(2w - 4)] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107643 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=107643\">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=2%2F%285w+%2B+10%29+-+3%2F%282w+-+4%29 ALIGN=MIDDLE  ALT=\"2%2F%285w+%2B+10%29+-+3%2F%282w+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%285%28w+%2B+2%29%29+-+3%2F%282%28w+-+2%29%29 ALIGN=MIDDLE  ALT=\"2%2F%285%28w+%2B+2%29%29+-+3%2F%282%28w+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the denominators.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%28w-2%29%29%2F%282%28w-2%29%29%29%282%2F%285%28w+%2B+2%29%29%29+-+3%2F%282%28w+-+2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%285%28w+%2B+2%29%29 ALIGN=MIDDLE  ALT=\"2%2F%285%28w+%2B+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%28w-2%29%29%2F%282%28w-2%29%29 ALIGN=MIDDLE  ALT=\"%282%28w-2%29%29%2F%282%28w-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%28w-2%29%29%2F%2810%28w+%2B+2%29%28w+-+2%29%29+-+3%2F%282%28w+-+2%29%29 ALIGN=MIDDLE  ALT=\"%284%28w-2%29%29%2F%2810%28w+%2B+2%29%28w+-+2%29%29+-+3%2F%282%28w+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine and multiply the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%28w-2%29%29%2F%2810%28w+%2B+2%29%28w+-+2%29%29+-+%28%285%28w%2B2%29%29%2F%285%28w%2B2%29%29%29%283%2F%282%28w+-+2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%282%28w+-+2%29%29 ALIGN=MIDDLE  ALT=\"3%2F%282%28w+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%28w%2B2%29%29%2F%285%28w%2B2%29%29 ALIGN=MIDDLE  ALT=\"%285%28w%2B2%29%29%2F%285%28w%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%28w-2%29%29%2F%2810%28w+%2B+2%29%28w+-+2%29%29+-+%2815%28w%2B2%29%29%2F%2810%28w%2B2%29%28w+-+2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combine and multiply the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%28w-2%29-15%28w%2B2%29%29%2F%2810%28w+%2B+2%29%28w+-+2%29%29 ALIGN=MIDDLE  ALT=\"%284%28w-2%29-15%28w%2B2%29%29%2F%2810%28w+%2B+2%29%28w+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the denominators are now equal, we can combine the numerators over the common denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284w-8-15w-30%29%2F%2810%28w+%2B+2%29%28w+-+2%29%29 ALIGN=MIDDLE  ALT=\"%284w-8-15w-30%29%2F%2810%28w+%2B+2%29%28w+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-11w-38%29%2F%2810%28w+%2B+2%29%28w+-+2%29%29 ALIGN=MIDDLE  ALT=\"%28-11w-38%29%2F%2810%28w+%2B+2%29%28w+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-11w-38%29%2F%2810%28w%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"%28-11w-38%29%2F%2810%28w%5E2-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Foil <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w+%2B+2%29%28w+-+2%29 ALIGN=MIDDLE  ALT=\"%28w+%2B+2%29%28w+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2-4 ALIGN=MIDDLE  ALT=\"w%5E2-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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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;\" > Distribute\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%285w+%2B+10%29+-+3%2F%282w+-+4%29 ALIGN=MIDDLE  ALT=\"2%2F%285w+%2B+10%29+-+3%2F%282w+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <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" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%285w+%2B+10%29+-+3%2F%282w+-+4%29=%28-11w-38%29%2F%2810w%5E2-40%29 ALIGN=MIDDLE  ALT=\"2%2F%285w+%2B+10%29+-+3%2F%282w+-+4%29=%28-11w-38%29%2F%2810w%5E2-40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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