document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=321127>Question 321127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the following \r<BR>\n" );
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document.write( "4x^2+12xy+9y^2\r<BR>\n" );
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document.write( "2x^3-20x^2+32x\r<BR>\n" );
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document.write( "28y^3-13y-6\r<BR>\n" );
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document.write( "8p^3-q^9\r<BR>\n" );
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document.write( "x^6-y^6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229959 by </B><A HREF=/tutors/aboutme.mpl?userid=ehollins1><B>ehollins1(8)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ehollins1><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=229959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)4x^2+12xy+9y^2=<BR>\n" );
document.write( " ( x+ y)( x+ Y) possible factors for 4: 1,2,4<BR>\n" );
document.write( " (2x+ y)(2x+ y) possible factors for 12: 1,2,3,4,6,12 and possible factors for 9: 1,3,9<BR>\n" );
document.write( " (2x+3y)(2x+3y)<BR>\n" );
document.write( "*****check solution***** <BR>\n" );
document.write( "=(2x+3y)(2x+3y)<BR>\n" );
document.write( "=(2x*2x)+(2x*3y)+(3y*2x)+(3y*3y)<BR>\n" );
document.write( "=4x^2+6xy+6xy+9y^2<BR>\n" );
document.write( "=4x^2+12xy+9y^2\r<BR>\n" );
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document.write( "2)2x^3-20x^2+32x=<BR>\n" );
document.write( " ( x- )( x - x) possible factors for 2: 1,2<BR>\n" );
document.write( " (2x- )(1x - x) possible factors for 20: 1,2,4,5,10,20 and possible factors for 32: 1,2,4,8,16,32<BR>\n" );
document.write( " (2x-4)(1x^2-8x)<BR>\n" );
document.write( "*****check solution***** <BR>\n" );
document.write( "=(2x-4)(1x^2-8x)<BR>\n" );
document.write( "=(2x*1x^2)-(2x*8x)-(4*1x^2)+(4*8x)<BR>\n" );
document.write( "=2x^3-16x^2-4x^2+32x<BR>\n" );
document.write( "=2x^3-20x^2-32x\r<BR>\n" );
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document.write( "3)28y^3-13y-6= already simplified (prime)<BR>\n" );
document.write( "possible solutions (2y+2)(14y^2-3)but due to the middle value being -13y no possible factors can be placed to obtain that value and complete the problem properly.\r<BR>\n" );
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document.write( "4)8p^3-q^9= already simplified (prime)<BR>\n" );
document.write( "Possible solution: substitution p=??, q=?? - none provided, not able to simplify\r<BR>\n" );
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document.write( "5)x^6-y^6= already simplified (prime)<BR>\n" );
document.write( "Possible solution: substitution x=??, y=?? - none provided, not able to simplify </SPAN>\n" );
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