document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=8751>Question 8751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Plese help me to factorise the expression:\r<BR>\n" );
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document.write( "-4(x-2y)^2+8(x-2y)\r<BR>\n" );
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document.write( "Regards </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4812 by </B><A HREF=/tutors/aboutme.mpl?userid=gsmani_iyer><B>gsmani_iyer(201)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gsmani_iyer><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=gsmani_iyer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=4812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28x-2y%29%5E2+%2B+8%28x-2y%29 ALIGN=MIDDLE  ALT=\"-4%28x-2y%29%5E2+%2B+8%28x-2y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By taking the common factor, (x-2y), we get\r<BR>\n" );
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document.write( "  (x-2y)[-4(x-2y) + 8]\r<BR>\n" );
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document.write( "=  (x-2y)(-4x+8y+8)  \r<BR>\n" );
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document.write( "=  (x-2y).4(-x+2y+2)\r<BR>\n" );
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document.write( "=  4(x-2y)(-x+2y+2).....Answer\r<BR>\n" );
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document.write( "There is another way of solving this problem as below:-\r<BR>\n" );
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document.write( "Let (x-2y) be = a\r<BR>\n" );
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document.write( "So above experession will be\r<BR>\n" );
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document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4a%5E2+%2B+8a ALIGN=MIDDLE  ALT=\"-4a%5E2+%2B+8a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " =  4a(-a+2)\r<BR>\n" );
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document.write( " =  now by replacing a by its original value,\r<BR>\n" );
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document.write( " =  4(x-2y)(-x+2y+2)  ......   Answer\r<BR>\n" );
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document.write( "  This way also we can factorise the expression.\r<BR>\n" );
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document.write( "gsm<BR>\n" );
document.write( " </SPAN>\n" );
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