document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=387445>Question 387445</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operations and simplify\r<BR>\n" );
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document.write( "(w-1/w-9)-(w+1/w+9)+(w-153/w^2-81)\r<BR>\n" );
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document.write( "Now would the first two cancel themselves out leaving(w-153/w^2-81) which is then factored to (w-153/(w-9)(w+9) or do I multiply the first two to get the denominators to all be the same?\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 #273857 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=273857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (w-1/w-9)-(w+1/w+9)+(w-153/w^2-81) <BR>\n" );
document.write( "----<BR>\n" );
document.write( "Notice that (w-9)(w+9) = w^2-81<BR>\n" );
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document.write( "least common denominator: w^2-81<BR>\n" );
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document.write( "Rewrite each fraction with the lcd as its denominator:<BR>\n" );
document.write( "[(w-1)(w+9)]/lcd - [(w+1)(w-9)]/lcd + (w-153)/lcd<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Since the denominators are all the same, combine the numerators to get:<BR>\n" );
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document.write( "[w^2+8w-9 - [w^2-8w-9] + (w-153)]/lcd<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Simplify the numerator:<BR>\n" );
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document.write( "[17w-153]/lcd<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "[17(w-9)]/[(w-9)(w+9)]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Cancel to get:<BR>\n" );
document.write( "= 17/(w+9)<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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