document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=315710>Question 315710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am currently taking Intermediate Algebra, I am having problems with rational expressions.\r<BR>\n" );
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document.write( "Simplify rational expression<BR>\n" );
document.write( "1. x-2/8x^2-32\r<BR>\n" );
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document.write( "Multiply Rational Expression<BR>\n" );
document.write( "2. 8x^2/x^2-9*x^2+6x+9/16x^3\r<BR>\n" );
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document.write( "Divide Rational Expression <BR>\n" );
document.write( "3. 3y+12/8y^3/9y+36/16y^3\r<BR>\n" );
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document.write( "Add Rational Expression<BR>\n" );
document.write( "4. 7/x^2-x-6+5/x-3\r<BR>\n" );
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document.write( "Subract Rational Expression <BR>\n" );
document.write( "5. 3x/x^2+3x-10-2x/x^2+x-6\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 #225866 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=225866\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify rational expression<BR>\n" );
document.write( "1. x-2/8x^2-32<BR>\n" );
document.write( "(x-2)/[8(x^2-4)]<BR>\n" );
document.write( "(x-2)/[8(x-2)(x+2)]<BR>\n" );
document.write( "= 1/[8(x+2)]<BR>\n" );
document.write( "------------------------ <BR>\n" );
document.write( "Multiply Rational Expression<BR>\n" );
document.write( "2. [8x^2/x^2-9]<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "[8x^2/(x-3)(x+3)]<BR>\n" );
document.write( "Cancel where you can:<BR>\n" );
document.write( "= [1/(x-3)]<BR>\n" );
document.write( "= (x+3)/[2x(x-3)]<BR>\n" );
document.write( "------------------------------ <BR>\n" );
document.write( "Divide Rational Expression <BR>\n" );
document.write( "3. [3y+12/8y^3]/[9y+36/16y^3]<BR>\n" );
document.write( "[3(y+4)/8y^3] / [9(y+4)/16y^3]<BR>\n" );
document.write( "Invert the denominator and multiply:<BR>\n" );
document.write( "[3(y+4)/8y^3] * [16y^3/[9(y+4)]]<BR>\n" );
document.write( "Cancel where you can:<BR>\n" );
document.write( "[1/1] * [2/[3]]<BR>\n" );
document.write( "= 2/3<BR>\n" );
document.write( "========<BR>\n" );
document.write( " <BR>\n" );
document.write( "Add Rational Expression<BR>\n" );
document.write( "4. 7/x^2-x-6+5/x-3 <BR>\n" );
document.write( "[7/(x-3)(x+2)] + [5/(x-3)]<BR>\n" );
document.write( "lcd = (x-3)(x+2)<BR>\n" );
document.write( "7/lcd + 5(x+2)/lcd<BR>\n" );
document.write( "[7+5x+10)/lcd<BR>\n" );
document.write( "[5x+17]/[(x-3)(x+2)]<BR>\n" );
document.write( "==========================\r<BR>\n" );
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document.write( "Subract Rational Expression <BR>\n" );
document.write( "5. 3x/x^2+3x-10-2x/x^2+x-6<BR>\n" );
document.write( "[3x/(x+5)(x-2)] - [2x/(x+3)(x-2)]<BR>\n" );
document.write( "lcd = (x+5)(x-2)(x+3)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= [3x(x+3)]/lcd - [2x(x+5)]/lcd<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= [3x^2+9x-(2x^2+10x)]/lcd<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= [x^2-x]/[(x+5)(x-2)(x+3)]<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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