document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=627699>Question 627699</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me expand and simplify this: (2x+3)^2+3(x+1)^2.<BR>\n" );
document.write( "I tried expanding it- but failed to do so. I'm not sure of how to solve this problem but know that the answer is: 7x^2+18x+12. When I tried solving it, I got: 5x^2+9x+12. Here are my steps:<BR>\n" );
document.write( "Expand and Simplify: (2x+3)^2+3(x+1)^2<BR>\n" );
document.write( "1. 2x^2+6x+9+3[x^2+x+1]<BR>\n" );
document.write( "For step 1, I multiplied 2x by the power of 2 which i got: 2x^2, then three times 2 which i got 6x and then i multiplied 3 times 3, which i got 9.<BR>\n" );
document.write( "2. 2x^2+6x+9+3x^2+3x+3<BR>\n" );
document.write( "I then multiplied 3 times x^2 which i got 3x^2, then i multiplied 3 times x, which i got 3x and then i multiplied 3 times 1 which is three. <BR>\n" );
document.write( "Lastly, I gathered the like terms and did steps according to the negative and positive terms and as an answer, I got: 5x^2+9x+12. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395075 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=395075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Your step 1 is incorrect.  Write it out in expanded form and then use FOIL.  Firsts:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x\"> times <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x\">.  Outsides:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x\"> times <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 3\">.  Insides: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 3\"> times <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x\">.  Lasts: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 3\"> times <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 3\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (2x\ +\ 3)(2x\ +\ 3)\ =\ 4x^2\ +\ 6x\ +\ 6x\ +\ 9\ =\ 4x^2\ +\ 12x\ +\ 9\">\r<BR>\n" );
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document.write( "Then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3(x\ +\ 1)(x\ +\ 1)\ =\ 3(x^2\ +\ x\ +\ x\ +\ 1)\ =\ 3(x^2\ +\ 2x\ +\ 1)\ =\ 3x^2\ +\ 6x\ +\ 3\">\r<BR>\n" );
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document.write( "Now add like terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (4x^2\ +\ 12x\ +\ 9)\ +\ (3x^2\ +\ 6x\ +\ 3)\ =\ 7x^2\ +\ 18x\ +\ 12\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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