document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236035>Question 236035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you help me factor \r<BR>\n" );
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document.write( "4x^3+4x^2y-24xy^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173985 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=173985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^3+4x^2y-24xy^2\r<BR>\n" );
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document.write( "factor out 4x to get:\r<BR>\n" );
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document.write( "4x * (x^2 + xy - 6y^2)\r<BR>\n" );
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document.write( "if you didn't have the y there, your equation within the parentheses would have been:\r<BR>\n" );
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document.write( "x^2 + x - 6 which factors as (x+3) * x-2)\r<BR>\n" );
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document.write( "if you add a y into the right side of each of the factors, you get:\r<BR>\n" );
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document.write( "x^2 + xy - 6y^2 = (x+3y) * (x-2y)\r<BR>\n" );
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document.write( "this looks like it will actually work.\r<BR>\n" );
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document.write( "your factors should be:\r<BR>\n" );
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document.write( "4x * (x+3y) * (x-2y)\r<BR>\n" );
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document.write( "to confirm they are good, work back to see if you can get the original equation again.\r<BR>\n" );
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document.write( "(x + 3y) * (x-2y) becomes:\r<BR>\n" );
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document.write( "x^2 - 2xy + 3xy - 6y^2 which becomes\r<BR>\n" );
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document.write( "x^2 + xy - 6y^2\r<BR>\n" );
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document.write( "multiply that by 4x to get:\r<BR>\n" );
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document.write( "4x * (x^2 + xy - 6y^2) becomes:\r<BR>\n" );
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document.write( "4x^3 + 4x^2y - 24xy^2\r<BR>\n" );
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document.write( "your original equation is:\r<BR>\n" );
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document.write( "4x^3 + 4x^2y - 24xy^2\r<BR>\n" );
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document.write( "since they're the same, your answer is confirmed.\r<BR>\n" );
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document.write( "your answer is:\r<BR>\n" );
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document.write( "4x * (x+3y) * (x-2y) </SPAN>\n" );
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