document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=576266>Question 576266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Needing some help with rational expressions. Not quite sure how to solve these.\r<BR>\n" );
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document.write( "1) Add. Simplify if possible. ((x^2+17x)/(x^2-9x)) + ((x^2-6x)/(x^2-9x))\r<BR>\n" );
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document.write( "2) Find all numbers for which the rational expression is undefined. (t^3-8t)/(t^2-25). Indicate if the expression is defined for every real number.\r<BR>\n" );
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document.write( "3) Subtract. Simplify if possible. (a/(v+a)) - (a/(v-a)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369774 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=369774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Add. Simplify if possible. ((x^2+17x)/(x^2-9x)) + ((x^2-6x)/(x^2-9x))<BR>\n" );
document.write( "(x^2+17x)/(x^2-9x)) + ((x^2-6x)/(x^2-9x)<BR>\n" );
document.write( "(x^2+17x+x^2-6x/(x^2-9x)<BR>\n" );
document.write( "(2x^2+17x-6x/(x^2-9x)<BR>\n" );
document.write( "(2x^2+11x)/(x^2-9x)<BR>\n" );
document.write( "(x(2x+11))/(x(x-9))<BR>\n" );
document.write( "(2x+11)/(x-9)<BR>\n" );
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document.write( "2) Find all numbers for which the rational expression is undefined. (t^3-8t)/(t^2-25). Indicate if the expression is defined for every real number.<BR>\n" );
document.write( "It is undefined if the denominator is zero.<BR>\n" );
document.write( "so, set<BR>\n" );
document.write( "t^2-25=0<BR>\n" );
document.write( "t^2-5^2=0<BR>\n" );
document.write( "(t-5)(t+5) = 0<BR>\n" );
document.write( "t = {-5, 5} (numbers where expression is undefined)<BR>\n" );
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document.write( "So, expression is NOT defined for every real number<BR>\n" );
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document.write( "3) Subtract. Simplify if possible. (a/(v+a)) - (a/(v-a))<BR>\n" );
document.write( "(a/(v+a)) - (a/(v-a))<BR>\n" );
document.write( "(a(v-a)/(v+a)(v-a)) - (a(v+a)/(v+a)(v-a))<BR>\n" );
document.write( "(a(v-a) - a(v+a))/((v+a)(v-a))<BR>\n" );
document.write( "(av-a^2 - av-a^2)/((v+a)(v-a))<BR>\n" );
document.write( "(-a^2-a^2)/((v+a)(v-a))<BR>\n" );
document.write( "(-2a^2)/((v+a)(v-a))<BR>\n" );
document.write( "(2a^2)/((v+a)(a-v))<BR>\n" );
document.write( " </SPAN>\n" );
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