document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149905>Question 149905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Add and simplify \r<BR>\n" );
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document.write( "5x            2<BR>\n" );
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document.write( "x+2          x2+4x+4\r<BR>\n" );
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document.write( "the x 2 is x squared \r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110033 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=110033\">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=%285x%29%2F%28x%2B2%29%2B%282%29%2F%28x%5E2%2B4x%2B4%29 ALIGN=MIDDLE  ALT=\"%285x%29%2F%28x%2B2%29%2B%282%29%2F%28x%5E2%2B4x%2B4%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=%285x%29%2F%28x%2B2%29%2B%282%29%2F%28%28x%2B2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%285x%29%2F%28x%2B2%29%2B%282%29%2F%28%28x%2B2%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%2B4 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x%2B2%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%28x%2B2%29%2F%28x%2B2%29%29%28%285x%29%2F%28x%2B2%29%29%2B%282%29%2F%28%28x%2B2%29%28x%2B2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%28x%2B2%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=%285x%28x%2B2%29%29%2F%28%28x%2B2%29%28x%2B2%29%29%2B%282%29%2F%28%28x%2B2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%285x%28x%2B2%29%29%2F%28%28x%2B2%29%28x%2B2%29%29%2B%282%29%2F%28%28x%2B2%29%28x%2B2%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=%285x%5E2%2B10x%29%2F%28%28x%2B2%29%28x%2B2%29%29%2B%282%29%2F%28%28x%2B2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%285x%5E2%2B10x%29%2F%28%28x%2B2%29%28x%2B2%29%29%2B%282%29%2F%28%28x%2B2%29%28x%2B2%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=%285x%5E2%2B10x%2B2%29%2F%28%28x%2B2%29%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"%285x%5E2%2B10x%2B2%29%2F%28%28x%2B2%29%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the denominators are 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=%285x%5E2%2B10x%2B2%29%2F%28%28x%2B2%29%5E2%29 ALIGN=MIDDLE  ALT=\"%285x%5E2%2B10x%2B2%29%2F%28%28x%2B2%29%5E2%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=%285x%29%2F%28x%2B2%29%2B%282%29%2F%28x%5E2%2B4x%2B4%29 ALIGN=MIDDLE  ALT=\"%285x%29%2F%28x%2B2%29%2B%282%29%2F%28x%5E2%2B4x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%5E2%2B10x%2B2%29%2F%28%28x%2B2%29%5E2%29 ALIGN=MIDDLE  ALT=\"%285x%5E2%2B10x%2B2%29%2F%28%28x%2B2%29%5E2%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=%285x%29%2F%28x%2B2%29%2B%282%29%2F%28x%5E2%2B4x%2B4%29=%285x%5E2%2B10x%2B2%29%2F%28%28x%2B2%29%5E2%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-2 ALIGN=MIDDLE  ALT=\"x%3C%3E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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