document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=587716>Question 587716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operations and simplify. <BR>\n" );
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document.write( "y-6        y+1       y-63\r\n" );
document.write( "-----  -  -----  +   -----\r\n" );
document.write( "y-9        y+9       y^2-81\r\n" );
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document.write( "I have gotten this far, but don't think it is right. \r<BR>\n" );
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document.write( "The LCD is (y-9)(y+9)\r<BR>\n" );
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document.write( "Long story short, after all of the \"factoring\" I did, the end result came out to be \r<BR>\n" );
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document.write( "25y+63<BR>\n" );
document.write( "------<BR>\n" );
document.write( "(y-9)(y+9)\r<BR>\n" );
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document.write( "My only question now is what do I do with the third part of the equation?\r<BR>\n" );
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document.write( "y-63<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "y^2-81 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374218 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=374218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i don't think you did the arithmetic correctly.<BR>\n" );
document.write( "i wound up with 12 / (y+9)<BR>\n" );
document.write( "here's how.\r<BR>\n" );
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document.write( "your expression is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-6%29+%2F+%28y-9%29+-+%28y%2B1%29+%2F+%28y%2B9%29+%2B+%28y-63%29+%2F+%28y%5E2+-+81%29 ALIGN=MIDDLE  ALT=\"%28y-6%29+%2F+%28y-9%29+-+%28y%2B1%29+%2F+%28y%2B9%29+%2B+%28y-63%29+%2F+%28y%5E2+-+81%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you can factor the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+81 ALIGN=MIDDLE  ALT=\"y%5E2+-+81\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-9%29%2A%28y%2B9%29%29 ALIGN=MIDDLE  ALT=\"%28y-9%29%2A%28y%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this makes your expression equal to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-6%29+%2F+%28y-9%29+-+%286%2B1%29+%2F+%28y%2B9%29+%2B+%28y-63%29+%2F+%28%28y-9%29%2A%28y%2B9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you are correct in that the common denominator will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-9%29%2A%28y%2B9%29 ALIGN=MIDDLE  ALT=\"%28y-9%29%2A%28y%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "you multiply the first term in the expression by (y+9) and you multiply the second term in the expresion by (y-9) to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y-6%29%2A%28y%2B9%29%29%2F%28%28y-9%29%2A%28y%2B9%29%29+-+%28%28y%2B1%29%2A%28y-9%29%29%2F%28%28y-9%29%2A%28y%2B9%29%29+%2B+%28y-63%29%2F%28%28y-9%29%2A%28y%2B9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you can now combine everything under the same common denominator to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y-6%29%2A%28y%2B9%29+-+%28y%2B1%29%2A%28y-9%29+%2B+%28y-63%29%29%2F%28%28y-9%29%2A%28y%2B9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you would now simplify your numerator by multiplying out the factors to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y%5E2+%2B+9y+-+6y+-+54%29+-+%28y%5E2+-+9y+%2B+y+-+9%29+%2B+%28y+-+63%29%29+%2F+%28%28y-9%29%2A%28y%2B9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you would simplify your numerator further by combining like terms to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2+%2B+3y+-+54%29+-+%28y%5E2+-+8y+-+9%29+%2B+%28y+-+63%29%29+%2F+%28%28y-9%29%2A%28y%2B9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you would now simplify your numerator further by removing parentheses to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2+%2B+3y+-+54+-+y%5E2+%2B+8y+%2B+9+%2B+y+-+63%29+%2F+%28%28y-9%29%2A%28y%2B9%29%29 ALIGN=MIDDLE  ALT=\"%28y%5E2+%2B+3y+-+54+-+y%5E2+%2B+8y+%2B+9+%2B+y+-+63%29+%2F+%28%28y-9%29%2A%28y%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you would now simplify your numerator further by grouping like terms to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y%5E2+-+y%5E2%29+%2B+%283y+%2B+8y+%2B+y%29+-+%2854+-+9+%2B+63%29%29+%2F+%28%28y-9%29%2A%28y%2B9%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you would now simplify your numerator further by combining like terms to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812y+-+108%29+%2F+%28%28y-9%29%2A%28y%2B9%29%29 ALIGN=MIDDLE  ALT=\"%2812y+-+108%29+%2F+%28%28y-9%29%2A%28y%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you would now simplify this further by factoring your numerator to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2A%28y-9%29%29+%2F+%28%28y-9%29%2A%28y%2B9%29%29 ALIGN=MIDDLE  ALT=\"%2812%2A%28y-9%29%29+%2F+%28%28y-9%29%2A%28y%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you would now simplify this further by canceling out the common terms of (y-9) in the numerator and (y-9) in the denominator to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%28y%2B9%29 ALIGN=MIDDLE  ALT=\"12%2F%28y%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "that's  your answer since you can't simplify it any further.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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