document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=284360>Question 284360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operation. Simplify, if possible.\r<BR>\n" );
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document.write( "(1-5t)/(t^2-4t+3)+ (7-3t)/(t^2-4t+3)\r<BR>\n" );
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document.write( "Possible answers:\r<BR>\n" );
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document.write( "-  8/(t-3)\r<BR>\n" );
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document.write( "-  8/(t+3)\r<BR>\n" );
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document.write( "-  8/(3-t)\r<BR>\n" );
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document.write( "8/(t-3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #206346 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=206346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -8/(t-3)<BR>\n" );
document.write( "Good job of using parentheses!<BR>\n" );
document.write( "the denominators factor into (t-3)(t-1)<BR>\n" );
document.write( "the numerators added together become<BR>\n" );
document.write( "1-5t+7-3t<BR>\n" );
document.write( "8-8t=8*(1-t)<BR>\n" );
document.write( "(1-t)=-(t-1)<BR>\n" );
document.write( "so we have -8*(t-1)/(t-3)*(t-1)<BR>\n" );
document.write( "so the (t-1)'s cancel out<BR>\n" );
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