document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33539>Question 33539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify. <BR>\n" );
document.write( "(36y^2-64x^2 / xy) / (6/x - 8/y). Thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19952 by </B><A HREF=/tutors/aboutme.mpl?userid=priya><B>priya(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=priya><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=19952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first  simplify the numerator and denominator seperately .\r<BR>\n" );
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document.write( " 1) denominator- on simplifying,<BR>\n" );
document.write( "      6/x - 8/y<BR>\n" );
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document.write( "    we get,<BR>\n" );
document.write( "      (6y -8x)/xy  ---------   A\r<BR>\n" );
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document.write( " 2) Numerator -\r<BR>\n" );
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document.write( "      (36y^2 -64x^2)  / xy<BR>\n" );
document.write( " try to simplify this,<BR>\n" );
document.write( "   <BR>\n" );
document.write( "     ( 36y^2- 64x^2) can be written as\r<BR>\n" );
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document.write( " 6^2 y^2 - 8^2 x^2     there is a formula( a^2-b^2 = (a+b)(a-b)therefore here a=6y and b= 8x)\r<BR>\n" );
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document.write( "from that the above can be re-written as (6y-8x)(6y +8x)\r<BR>\n" );
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document.write( "now the new NUMERATOR IS <BR>\n" );
document.write( "                (6y-8x)(6y+8x)/xy  -------------- B\r<BR>\n" );
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document.write( "  FROM A & B,\r<BR>\n" );
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document.write( "        (6y-8x)(6y+8x)  * xy                    <BR>\n" );
document.write( "    ___________________________              <BR>\n" );
document.write( "           xy       * (6y-8x)                  \r<BR>\n" );
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document.write( "    =     (6y+8x)  is the answer.   (xy  and (6y-8x)get cancelled  )\r<BR>\n" );
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document.write( "priya </SPAN>\n" );
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