document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174833>Question 174833</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9781567655568/algebrahomeworkh>Amsco's Preparing for the Regents Examination Mathematics B</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> (13) Simplify: \r<BR>\n" );
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document.write( "20 + 7x - 3x^2 / x^2 - 16 (divided by) 6x + 10 / 2x^2 + 5x - 12\r<BR>\n" );
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document.write( "Thank you so much ! Really do Appreciate it alot  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129904 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=129904\">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%2820%2B7x-3x%5E2%29%2F%28x%5E2-16%29%29%2F%28%286x%2B10%29%2F%282x%5E2%2B5x-12%29%29 ALIGN=MIDDLE  ALT=\"%28%2820%2B7x-3x%5E2%29%2F%28x%5E2-16%29%29%2F%28%286x%2B10%29%2F%282x%5E2%2B5x-12%29%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=%28%28-3x%5E2%2B7x%2B20%29%2F%28x%5E2-16%29%29%2F%28%286x%2B10%29%2F%282x%5E2%2B5x-12%29%29 ALIGN=MIDDLE  ALT=\"%28%28-3x%5E2%2B7x%2B20%29%2F%28x%5E2-16%29%29%2F%28%286x%2B10%29%2F%282x%5E2%2B5x-12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-3x%5E2%2B7x%2B20%29%2F%28x%5E2-16%29%29%28%282x%5E2%2B5x-12%29%2F%286x%2B10%29%29 ALIGN=MIDDLE  ALT=\"%28%28-3x%5E2%2B7x%2B20%29%2F%28x%5E2-16%29%29%28%282x%5E2%2B5x-12%29%2F%286x%2B10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3x%5E2%2B7x%2B20%29%2F%28x%5E2-16%29 ALIGN=MIDDLE  ALT=\"%28-3x%5E2%2B7x%2B20%29%2F%28x%5E2-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the reciprocal of the second fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x%2B10%29%2F%282x%5E2%2B5x-12%29 ALIGN=MIDDLE  ALT=\"%286x%2B10%29%2F%282x%5E2%2B5x-12%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=%28%28-%283x%2B5%29%28x-4%29%29%2F%28x%5E2-16%29%29%28%282x%5E2%2B5x-12%29%2F%286x%2B10%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%5E2%2B7x%2B20 ALIGN=MIDDLE  ALT=\"-3x%5E2%2B7x%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283x%2B5%29%28x-4%29 ALIGN=MIDDLE  ALT=\"-%283x%2B5%29%28x-4%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=%28%28-%283x%2B5%29%28x-4%29%29%2F%28%28x-4%29%28x%2B4%29%29%29%28%282x%5E2%2B5x-12%29%2F%286x%2B10%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-16 ALIGN=MIDDLE  ALT=\"x%5E2-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%28x%2B4%29 ALIGN=MIDDLE  ALT=\"%28x-4%29%28x%2B4%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=%28%28-%283x%2B5%29%28x-4%29%29%2F%28%28x-4%29%28x%2B4%29%29%29%28%28%28x%2B4%29%282x-3%29%29%2F%286x%2B10%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B5x-12 ALIGN=MIDDLE  ALT=\"2x%5E2%2B5x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%282x-3%29 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%282x-3%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=%28%28-%283x%2B5%29%28x-4%29%29%2F%28%28x-4%29%28x%2B4%29%29%29%28%28%28x%2B4%29%282x-3%29%29%2F%282%283x%2B5%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B10 ALIGN=MIDDLE  ALT=\"6x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%283x%2B5%29 ALIGN=MIDDLE  ALT=\"2%283x%2B5%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=%28-%283x%2B5%29%28x-4%29%28x%2B4%29%282x-3%29%29%2F%282%28x-4%29%28x%2B4%29%283x%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28-%283x%2B5%29%28x-4%29%28x%2B4%29%282x-3%29%29%2F%282%28x-4%29%28x%2B4%29%283x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28highlight%28%283x%2B5%29%29highlight%28%28x-4%29%29highlight%28%28x%2B4%29%29%282x-3%29%29%2F%282%2Ahighlight%28%28x-4%29%29highlight%28%28x%2B4%29%29highlight%28%283x%2B5%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28cross%28%283x%2B5%29%29cross%28%28x-4%29%29cross%28%28x%2B4%29%29%282x-3%29%29%2F%282%2Across%28%28x-4%29%29cross%28%28x%2B4%29%29cross%28%283x%2B5%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%282x-3%29%2F%282%29 ALIGN=MIDDLE  ALT=\"-%282x-3%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. \r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2820%2B7x-3x%5E2%29%2F%28x%5E2-16%29%29%2F%28%286x%2B10%29%2F%282x%5E2%2B5x-12%29%29 ALIGN=MIDDLE  ALT=\"%28%2820%2B7x-3x%5E2%29%2F%28x%5E2-16%29%29%2F%28%286x%2B10%29%2F%282x%5E2%2B5x-12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%282x-3%29%2F%282%29 ALIGN=MIDDLE  ALT=\"-%282x-3%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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