document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154277>Question 154277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> me and my aunt keep getting different answers. this is weekend homework.\r<BR>\n" );
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document.write( "Multiply or divide. Simplify.\r<BR>\n" );
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document.write( "1) ((x^2-9)/(x^2-4x))*((2x-8)/(x+3))\r<BR>\n" );
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document.write( "2) (m^2+10m+25m)/(m^2+12m+35)\r<BR>\n" );
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document.write( "3) ((y^2+4y+4)/(y^2+3y+2))/((y^2+6y+8)/(y^2+4y+3))\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113586 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=113586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first two to get you started:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2-9%29%2F%28x%5E2-4x%29%29%28%282x-8%29%2F%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-9%29%2F%28x%5E2-4x%29%29%28%282x-8%29%2F%28x%2B3%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%28x-3%29%28x%2B3%29%29%2F%28x%5E2-4x%29%29%28%282x-8%29%2F%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28x-3%29%28x%2B3%29%29%2F%28x%5E2-4x%29%29%28%282x-8%29%2F%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9 ALIGN=MIDDLE  ALT=\"x%5E2-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2A%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%2A%28x%2B3%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%28x-3%29%28x%2B3%29%29%2F%28x%28x-4%29%29%29%28%282x-8%29%2F%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28x-3%29%28x%2B3%29%29%2F%28x%28x-4%29%29%29%28%282x-8%29%2F%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x ALIGN=MIDDLE  ALT=\"x%5E2-4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%28x-4%29 ALIGN=MIDDLE  ALT=\"x%2A%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%28x-3%29%28x%2B3%29%29%2F%28x%28x-4%29%29%29%28%282%28x-4%29%29%2F%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%28%28x-3%29%28x%2B3%29%29%2F%28x%28x-4%29%29%29%28%282%28x-4%29%29%2F%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-8 ALIGN=MIDDLE  ALT=\"2x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-4%29 ALIGN=MIDDLE  ALT=\"2%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=%282%28x-3%29%28x%2B3%29%28x-4%29%29%2F%28x%28x-4%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%282%28x-3%29%28x%2B3%29%28x-4%29%29%2F%28x%28x-4%29%28x%2B3%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=%282%28x-3%29highlight%28%28x%2B3%29%29highlight%28%28x-4%29%29%29%2F%28x%2Ahighlight%28%28x-4%29%29highlight%28%28x%2B3%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=%282%28x-3%29cross%28%28x%2B3%29%29cross%28%28x-4%29%29%29%2F%28x%2Across%28%28x-4%29%29cross%28%28x%2B3%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=%282%28x-3%29%29%2F%28x%29 ALIGN=MIDDLE  ALT=\"%282%28x-3%29%29%2F%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-6%29%2F%28x%29 ALIGN=MIDDLE  ALT=\"%282x-6%29%2F%28x%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=%28%28x%5E2-9%29%2F%28x%5E2-4x%29%29%28%282x-8%29%2F%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-9%29%2F%28x%5E2-4x%29%29%28%282x-8%29%2F%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-6%29%2F%28x%29 ALIGN=MIDDLE  ALT=\"%282x-6%29%2F%28x%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=%28%28x%5E2-9%29%2F%28x%5E2-4x%29%29%28%282x-8%29%2F%28x%2B3%29%29=%282x-6%29%2F%28x%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-9%29%2F%28x%5E2-4x%29%29%28%282x-8%29%2F%28x%2B3%29%29=%282x-6%29%2F%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-3 ALIGN=MIDDLE  ALT=\"x%3C%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E4 ALIGN=MIDDLE  ALT=\"x%3C%3E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "I'm assuming that you meant to say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m%5E2%2B10m%2B25%29%2F%28m%5E2%2B12m%2B35%29 ALIGN=MIDDLE  ALT=\"%28m%5E2%2B10m%2B25%29%2F%28m%5E2%2B12m%2B35%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=%28m%5E2%2B10m%2B25%29%2F%28m%5E2%2B12m%2B35%29 ALIGN=MIDDLE  ALT=\"%28m%5E2%2B10m%2B25%29%2F%28m%5E2%2B12m%2B35%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%28m%2B5%29%28m%2B5%29%29%2F%28m%5E2%2B12m%2B35%29 ALIGN=MIDDLE  ALT=\"%28%28m%2B5%29%28m%2B5%29%29%2F%28m%5E2%2B12m%2B35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2%2B10m%2B25 ALIGN=MIDDLE  ALT=\"m%5E2%2B10m%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m%2B5%29%28m%2B5%29 ALIGN=MIDDLE  ALT=\"%28m%2B5%29%28m%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%28m%2B5%29%28m%2B5%29%29%2F%28%28m%2B7%29%2A%28m%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28%28m%2B5%29%28m%2B5%29%29%2F%28%28m%2B7%29%2A%28m%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2%2B12m%2B35 ALIGN=MIDDLE  ALT=\"m%5E2%2B12m%2B35\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m%2B7%29%2A%28m%2B5%29 ALIGN=MIDDLE  ALT=\"%28m%2B7%29%2A%28m%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=%28highlight%28%28m%2B5%29%29%28m%2B5%29%29%2F%28%28m%2B7%29highlight%28%28m%2B5%29%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28%28m%2B5%29%29%28m%2B5%29%29%2F%28%28m%2B7%29highlight%28%28m%2B5%29%29%29\"   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%28m%2B5%29%29%28m%2B5%29%29%2F%28%28m%2B7%29cross%28%28m%2B5%29%29%29 ALIGN=MIDDLE  ALT=\"%28cross%28%28m%2B5%29%29%28m%2B5%29%29%2F%28%28m%2B7%29cross%28%28m%2B5%29%29%29\"   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=%28m%2B5%29%2F%28m%2B7%29 ALIGN=MIDDLE  ALT=\"%28m%2B5%29%2F%28m%2B7%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=%28m%5E2%2B10m%2B25%29%2F%28m%5E2%2B12m%2B35%29 ALIGN=MIDDLE  ALT=\"%28m%5E2%2B10m%2B25%29%2F%28m%5E2%2B12m%2B35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28m%2B5%29%2F%28m%2B7%29 ALIGN=MIDDLE  ALT=\"%28m%2B5%29%2F%28m%2B7%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=%28m%5E2%2B10m%2B25%29%2F%28m%5E2%2B12m%2B35%29=%28m%2B5%29%2F%28m%2B7%29 ALIGN=MIDDLE  ALT=\"%28m%5E2%2B10m%2B25%29%2F%28m%5E2%2B12m%2B35%29=%28m%2B5%29%2F%28m%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%3C%3E-7 ALIGN=MIDDLE  ALT=\"m%3C%3E-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%3C%3E-5 ALIGN=MIDDLE  ALT=\"m%3C%3E-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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