document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916854>Question 916854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really need your help in solving this problem. I appreciate your time and efforts. Have a terrific day :) Here is the question? Simplify:\r<BR>\n" );
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document.write( "y^2 -25/y^2 -3y-10       </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556325 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=556325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "(1) y^2 -25/y^2 -3y-10 <BR>\n" );
document.write( "But I think you mean<BR>\n" );
document.write( "(2) (y^2 -25)/(y^2 -3y-10), which makes all the difference in the world!<BR>\n" );
document.write( "In (2) you can factor the numerator<BR>\n" );
document.write( "(3) y^2 -25 = (y-5)*(y+5) and the denominator<BR>\n" );
document.write( "(4) y^2 -3y-10 = (y-5)*(y+2)<BR>\n" );
document.write( "Now place (3) and (4) into (2) to get<BR>\n" );
document.write( "(5)(y^2 -25)/(y^2 -3y-10) = ((y-5)*(y+5))/((y-5)*(y+2)) or after cancellation of (y-5) we get<BR>\n" );
document.write( "(6)(y^2 -25)/(y^2 -3y-10) = (y+5)/(y+2)<BR>\n" );
document.write( "Answer: The given expression simplifies to (y+5)/(y+2). </SPAN>\n" );
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