document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274206>Question 274206</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone help me with this?\r<BR>\n" );
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document.write( "Factor completely\r<BR>\n" );
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document.write( "16x2 +48xy + 36y2\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200130 by </B><A HREF=/tutors/aboutme.mpl?userid=Monkibat><B>Monkibat(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Monkibat><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=200130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor 16x^2+48xy+36y^2\r<BR>\n" );
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document.write( "Factor out a Greatest Common Factor first.  The greatest common factor is 4.<BR>\n" );
document.write( "4(4x^2+12xy+9y^2)\r<BR>\n" );
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document.write( "Now factor the polynomial in the parenthesis.<BR>\n" );
document.write( "Look at 4x^2 Break it into factor choices:  1x4 or 2x2\r<BR>\n" );
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document.write( "Look at 9y^2 Break it into factor choices: 1x9 or 3x3\r<BR>\n" );
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document.write( "Lets first try 2x2 and 3x3 for the factor choices:<BR>\n" );
document.write( "(2x 3y)(2x 3y)\r<BR>\n" );
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document.write( "There are two x's and 2y's because of the 4x^2 and the 9y^2. Our answer has to equal the middle term 12xy.\r<BR>\n" );
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document.write( "Now we multiply to see if we picked the right factors of 4 and 9.\r<BR>\n" );
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document.write( "The outer 2x multiplied with the outer 3y equals 6xy.  The inner 3y multiplied with the inner 2x equals 6xy. 6xy+6xy=12xy  That works.\r<BR>\n" );
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document.write( "Now we have to figure out our signs.  Since 9y^2 and 12xy are both positive both of our signs have to be positive.\r<BR>\n" );
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document.write( "The answer is:<BR>\n" );
document.write( "(2x+3y)(2x+3y) </SPAN>\n" );
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