document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=301999>Question 301999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide rational expression, and if possible, simplify.\r<BR>\n" );
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document.write( "    a^2 - b^2 /a^2 - 4ab + 4b^2   ÷    a^2 - 3ab + 2b^2/ a - 2b\r<BR>\n" );
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document.write( "I know to rewrite as multiplication of reciprocal next step\r<BR>\n" );
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document.write( "   = a^2 - b^2/a^2 - 4ab + 4b^2   ÷    a - 2b/ a^2 - 3ab + 2b^2\r<BR>\n" );
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document.write( "Factor next step and cancel common factors<BR>\n" );
document.write( "    a^2 - b^2/ a^2 - 4ab+4b^2  ÷    a - 2b /a^2 -3ab + 2b^2\r<BR>\n" );
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document.write( "Not sure what’s that next step for a solution.\r<BR>\n" );
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document.write( "Thank you for any assistance.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216577 by </B><A HREF=/tutors/aboutme.mpl?userid=london+maths+tutor><B>london maths tutor(243)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=london+maths+tutor><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=london+maths+tutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=216577\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factorise the following: <BR>\n" );
document.write( "a^2 - b^2 = (a+b)(a-b)<BR>\n" );
document.write( "a^2 - 3ab + 2b^2 = (a-2b)(a-b)\r<BR>\n" );
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document.write( "Put these factorised brackets into the equation and change the question to multiplication.\r<BR>\n" );
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document.write( "you should get:\r<BR>\n" );
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document.write( "[(a+b)(a-b)/(a^2-4ab+4b^2)] * [(a-2b)/(a-2b)(a-b)]\r<BR>\n" );
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document.write( "you can cancel out (a-2b) and (a-b)\r<BR>\n" );
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document.write( "The remaining fraction becomes:\r<BR>\n" );
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document.write( "[(a+b)/(a^2-4ab+4b^2)] </SPAN>\n" );
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