document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105072>Question 1105072</A>: <I><SPAN STYLE=\"word-break: break-all;\">    Simplify   x^(2)-3x-(10)/(x+(3)/(2x^(2)-7x-(15)/(x^(2-9) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720131 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13209)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There is no need to enclose exponents in parentheses.  Write \"x^2\" instead of \"x^(2)\".<BR>\n" );
document.write( "And there certainly is no need to enclose the constant term in a polynomial in parentheses.  Write \"x+3\" instead of \"x+(3)\".<BR>\n" );
document.write( "<b>BUT</b> there <b>IS</b> a need to enclose polynomials in parentheses when they are the numerator or denominator of a fraction.<BR>\n" );
document.write( "And you have a fraction with polynomials divided by another fraction with polynomials, so you will need parentheses around each of those fractions.<br><BR>\n" );
document.write( "The expression should look like this:<br><BR>\n" );
document.write( "((x^2-3x-10)/(x+3))/((2x^2-7x-15)/(x^2-9))<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2-3x-10%29%2F%28x%2B3%29%29%2F%28%282x%5E2-7x-15%29%2F%28x%5E2-9%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-3x-10%29%2F%28x%2B3%29%29%2F%28%282x%5E2-7x-15%29%2F%28x%5E2-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The rule for dividing fractions is flip the second fraction (find its reciprocal) and multiply:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2-3x-10%29%2F%28x%2B3%29%29%2A%28%28x%5E2-9%29%2F%282x%5E2-7x-15%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-3x-10%29%2F%28x%2B3%29%29%2A%28%28x%5E2-9%29%2F%282x%5E2-7x-15%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now factor all the polynomials and cancel common factors where possible.  I'll get you started....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x-5%29%28x%2B2%29%29%2F%28x%2B3%29%29%2A%28%28%28x%2B3%29%28x-3%29%29%2F%28%282x%2B3%29%28x-5%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "You can finish from there.... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );