document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=111456>Question 111456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Do the operations and simplify.\r<BR>\n" );
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document.write( "1.(x^2+4x+4/x) * (x^2 - 2x/x^2 -4)\r<BR>\n" );
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document.write( "2.(x^2 + 2x - 63/9x^2 +71x +56) * (81x^2 - 64/ 9x^2 +73x - 72) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81280 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=81280\">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%2B4x%2B4%29%2Fx%29+%2A+%28%28x%5E2+-+2x%29%2F%28x%5E2+-4%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B4x%2B4%29%2Fx%29+%2A+%28%28x%5E2+-+2x%29%2F%28x%5E2+-4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........ I guess your equation should be writen this way\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B4x%2B4%29%2Fx%29+%2A+%28%28x%5E2+-+2x%29%2F%28x%5E2+-4%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B4x%2B4%29%2Fx%29+%2A+%28%28x%5E2+-+2x%29%2F%28x%5E2+-4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........ in first term, write \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x ALIGN=MIDDLE  ALT=\"4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+2x ALIGN=MIDDLE  ALT=\"2x+%2B+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > then group first two and second two terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x%5E2%2B2x%29+%2B+%282x%2B4%29%29%2Fx%29+%2A+%28%28x%5E2+-+2x%29%2F%28x%5E2+-4%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >........factor out \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%28x%2B2%29+%2B+2%28x%2B2%29%29%2Fx%29+%2A+%28x%28x+-+2%29%2F%28x+-+2%29%28x%2B2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >........reduce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2 ALIGN=MIDDLE  ALT=\"x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2 ALIGN=MIDDLE  ALT=\"x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2 ALIGN=MIDDLE  ALT=\"x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2 ALIGN=MIDDLE  ALT=\"x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in nominator and denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%29%2Fx%29+%2A+x%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B2%29%2Fx%29+%2A+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........reduce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "finaly, you will have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2 ALIGN=MIDDLE  ALT=\"x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >........\r<BR>\n" );
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document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+2x+-+63%29%2F%289x%5E2+%2B71x+%2B56%29+%2A+%2881x%5E2+-+64%29%2F+%289x%5E2+%2B73x+-+72%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >...... \r<BR>\n" );
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document.write( "first we can do some factorization:\r<BR>\n" );
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document.write( "look first this expression:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2x+-+63 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+-+63\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Replace  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7x+%2B+9x ALIGN=MIDDLE  ALT=\"-7x+%2B+9x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and group the first two terms together \r<BR>\n" );
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document.write( "and the last two terms together like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+7x%29+%2B+%289x+-+63%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+-+7x%29+%2B+%289x+-+63%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >……\r<BR>\n" );
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document.write( "factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x ALIGN=MIDDLE  ALT=\"1x\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the first group and factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the \r<BR>\n" );
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document.write( "second group<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x%28x+-+7%29+%2B+9%28x+-+7%29 ALIGN=MIDDLE  ALT=\"1x%28x+-+7%29+%2B+9%28x+-+7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…… factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%96+7 ALIGN=MIDDLE  ALT=\"x+%96+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > out\r<BR>\n" );
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document.write( "and you will have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+9%29%28x-7%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+9%29%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then, look at this expression: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+%2B71x+%2B56 ALIGN=MIDDLE  ALT=\"9x%5E2+%2B71x+%2B56\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Replace  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=71x ALIGN=MIDDLE  ALT=\"71x\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x+%2B+63x ALIGN=MIDDLE  ALT=\"8x+%2B+63x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and group the first two terms together \r<BR>\n" );
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document.write( "and the last two terms together like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%5E2+%2B+8x%29+%2B+%2863x+%2B+56%29 ALIGN=MIDDLE  ALT=\"%289x%5E2+%2B+8x%29+%2B+%2863x+%2B+56%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >……\r<BR>\n" );
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document.write( "factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x ALIGN=MIDDLE  ALT=\"1x\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the first group and factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the second group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x%289x+%2B+8%29+%2B+7%289x+%2B+8%29 ALIGN=MIDDLE  ALT=\"1x%289x+%2B+8%29+%2B+7%289x+%2B+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…… factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x+%2B+8%29 ALIGN=MIDDLE  ALT=\"%289x+%2B+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > out\r<BR>\n" );
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document.write( "and you will have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x+%2B+8%29%28x%2B7%29 ALIGN=MIDDLE  ALT=\"%289x+%2B+8%29%28x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " then, this expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81x%5E2+-+64 ALIGN=MIDDLE  ALT=\"81x%5E2+-+64\"   DISABLED_style= \"max-width:90%; height:auto;\" >we can write as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%29%5E2+-+8%5E2+=+%289x+-+8%29%289x+%2B+8%29 ALIGN=MIDDLE  ALT=\"%289x%29%5E2+-+8%5E2+=+%289x+-+8%29%289x+%2B+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " at the end, take a look at this expression:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+%2B73x+-+72 ALIGN=MIDDLE  ALT=\"9x%5E2+%2B73x+-+72\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Replace  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=73x ALIGN=MIDDLE  ALT=\"73x\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x+%2B+81x ALIGN=MIDDLE  ALT=\"-8x+%2B+81x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and group the first two terms together \r<BR>\n" );
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document.write( "and the last two terms together like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%5E2+-+8x%29+%2B+%2881x+-+72%29 ALIGN=MIDDLE  ALT=\"%289x%5E2+-+8x%29+%2B+%2881x+-+72%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >……\r<BR>\n" );
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document.write( "factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x ALIGN=MIDDLE  ALT=\"1x\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the first group and factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the second group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x%289x+-+8%29+%2B+9%289x+-+8%29 ALIGN=MIDDLE  ALT=\"1x%289x+-+8%29+%2B+9%289x+-+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >…… factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x+-+8%29 ALIGN=MIDDLE  ALT=\"%289x+-+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > out\r<BR>\n" );
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document.write( "and you will have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x+-+8%29%28x%2B+9%29 ALIGN=MIDDLE  ALT=\"%289x+-+8%29%28x%2B+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now, substitute all of this in :\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+2x+-+63%29%2F%289x%5E2+%2B71x+%2B56%29+%2A+%2881x%5E2+-+64%29%2F+%289x%5E2+%2B73x+-+72%29 ALIGN=MIDDLE   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=%28x+%2B+9%29%28x-7%29%2F%289x+%2B+8%29%28x%2B7%29%2A%289x+-+8%29%289x+%2B+8%29%2F+%289x+-+8%29%28x%2B+9%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >...reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%2F%28x%2B7%29 ALIGN=MIDDLE  ALT=\"%28x-7%29%2F%28x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >... </SPAN>\n" );
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