document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189464>Question 189464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply. State any restrictions on the variable\r<BR>\n" );
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document.write( "x^2+6x-7/x^2+5x times 3x^2+16x+5/2x^2+7x-9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142154 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=142154\">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%28x%5E2%2B6x-7%29%2F%28x%5E2%2B5x%29%29%28%283x%5E2%2B16x%2B5%29%2F%282x%5E2%2B7x-9%29%29 ALIGN=MIDDLE   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%2B7%29%28x-1%29%29%2F%28x%5E2%2B5x%29%29%28%283x%5E2%2B16x%2B5%29%2F%282x%5E2%2B7x-9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2B7%29%28x-1%29%29%2F%28x%28x%2B5%29%29%29%28%283x%5E2%2B16x%2B5%29%2F%282x%5E2%2B7x-9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2B7%29%28x-1%29%29%2F%28x%28x%2B5%29%29%29%28%28%28x%2B5%29%283x%2B1%29%29%2F%282x%5E2%2B7x-9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the second numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%2B7%29%28x-1%29%29%2F%28x%28x%2B5%29%29%29%28%28%28x%2B5%29%283x%2B1%29%29%2F%28%282x%2B9%29%28x-1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the second denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B7%29%28x-1%29%28x%2B5%29%283x%2B1%29%29%2F%28x%28x%2B5%29%282x%2B9%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B7%29%28x-1%29%28x%2B5%29%283x%2B1%29%29%2F%28x%28x%2B5%29%282x%2B9%29%28x-1%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=%28%28x%2B7%29highlight%28%28x-1%29%29highlight%28%28x%2B5%29%29%283x%2B1%29%29%2F%28x%2Ahighlight%28%28x%2B5%29%29%282x%2B9%29highlight%28%28x-1%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=%28%28x%2B7%29cross%28%28x-1%29%29cross%28%28x%2B5%29%29%283x%2B1%29%29%2F%28x%2Across%28%28x%2B5%29%29%282x%2B9%29cross%28%28x-1%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=%28%28x%2B7%29%283x%2B1%29%29%2F%28x%282x%2B9%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B7%29%283x%2B1%29%29%2F%28x%282x%2B9%29%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=%283x%5E2%2B22x%2B7%29%2F%28x%282x%2B9%29%29 ALIGN=MIDDLE  ALT=\"%283x%5E2%2B22x%2B7%29%2F%28x%282x%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2%2B22x%2B7%29%2F%282x%5E2%2B9x%29 ALIGN=MIDDLE  ALT=\"%283x%5E2%2B22x%2B7%29%2F%282x%5E2%2B9x%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%2B6x-7%29%2F%28x%5E2%2B5x%29%29%28%283x%5E2%2B16x%2B5%29%2F%282x%5E2%2B7x-9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2%2B22x%2B7%29%2F%282x%5E2%2B9x%29 ALIGN=MIDDLE  ALT=\"%283x%5E2%2B22x%2B7%29%2F%282x%5E2%2B9x%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%2B6x-7%29%2F%28x%5E2%2B5x%29%29%28%283x%5E2%2B16x%2B5%29%2F%282x%5E2%2B7x-9%29%29=%283x%5E2%2B22x%2B7%29%2F%282x%5E2%2B9x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-5 ALIGN=MIDDLE  ALT=\"x%3C%3E-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-9%2F2 ALIGN=MIDDLE  ALT=\"x%3C%3E-9%2F2\"   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%3E1 ALIGN=MIDDLE  ALT=\"x%3C%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (these are the restrictions) </SPAN>\n" );
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