document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302100>Question 302100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve this problem: \r<BR>\n" );
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document.write( "4x^2-27x + 18 times x^2-2x-24<BR>\n" );
document.write( "over                over<BR>\n" );
document.write( "(x-6)^4             4x^2 + 13 x - 12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216691 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=216691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factorise:\r<BR>\n" );
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document.write( "4x^2-27x + 18 = (4x - 3)(x-6)<BR>\n" );
document.write( "(x-6)^4  = [(x-6)^2][(x-6)^2]<BR>\n" );
document.write( "x^2-2x-24 = (x-6)(x+4)<BR>\n" );
document.write( "4x^2+13x-12 = (4x-3)(x+4) \r<BR>\n" );
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document.write( "Putting the factorised bracket into the question, this gives: \r<BR>\n" );
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document.write( "[(4x - 3)(x-6)]/[(x-6)^2][(x-6)^2] * [(x-6)(x+4)]/(4x-3)(x+4)\r<BR>\n" );
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document.write( "you can cancel out (4x-3), (x-6) and (x+4)\r<BR>\n" );
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document.write( "This leaves: 1/[(x-6)^2] </SPAN>\n" );
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