document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36284>Question 36284</A>: <I><SPAN STYLE=\"word-break: break-all;\"> add and simplify:\r<BR>\n" );
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document.write( "y over y^2-49 + 7 over y^2+8y + 7\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 #22391 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22391\">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=y%2F+%28y%5E2-49%29++%2B+7+%2F%28y%5E2%2B8y%2B7%29+ ALIGN=MIDDLE  ALT=\"y%2F+%28y%5E2-49%29++%2B+7+%2F%28y%5E2%2B8y%2B7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The first step is to factor the denominators so you can find the LCD:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F+%28%28y-7%29%2A%28y%2B7%29%29++%2B+7+%2F%28%28y%2B7%29%2A%28y%2B1%29%29+ ALIGN=MIDDLE  ALT=\"y%2F+%28%28y-7%29%2A%28y%2B7%29%29++%2B+7+%2F%28%28y%2B7%29%2A%28y%2B1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, you must compare each denominator to the LCD, and decide what factors are missing from each of the denominators.   Notice the in the first denominator, you are missing a factor of (y+1), and in the second denominator, you are  missing a factor of (y-7).  So multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B1%29%2F%28y%2B1%29+ ALIGN=MIDDLE  ALT=\"%28y%2B1%29%2F%28y%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and multiply the second fraction by the missing factor which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y-7%29%2F%28y-7%29+ ALIGN=MIDDLE  ALT=\"+%28y-7%29%2F%28y-7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  It should look like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2F+%28%28y-7%29%2A%28y%2B7%29%29%29%2A%28%28y%2B1%29%2F%28y%2B1%29%29++%2B+%287+%2F%28%28y%2B7%29%2A%28y%2B1%29%29%29%2A%28%28y-7%29%2F%28y-7%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now that you have a common denominator for the fractions, you can multiply out the numerators and  place the result 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=+%28y%5E2+%2By%2B7y-49%29%2F%28%28y-7%29%2A%28y%2B7%29%2A%28y%2B1%29%29 ALIGN=MIDDLE  ALT=\"+%28y%5E2+%2By%2B7y-49%29%2F%28%28y-7%29%2A%28y%2B7%29%2A%28y%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Combine like terms in the numerator, and see if the numerator can be factored. In this case, it cannot, so what you have is the final answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y%5E2+%2B8y-49%29%2F%28%28y-7%29%2A%28y%2B7%29%2A%28y%2B1%29%29 ALIGN=MIDDLE  ALT=\"+%28y%5E2+%2B8y-49%29%2F%28%28y-7%29%2A%28y%2B7%29%2A%28y%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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