document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043966>Question 1043966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> multiply using formula :(a+b+c)  (b+c-a)  (c+a-b)  (a+b-c)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #659194 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=659194\">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=%28a%2Bb%2Bc%29%28b%2Bc-a%29%28c%2Ba-b%29%28a%2Bb-c%29 ALIGN=MIDDLE  ALT=\"%28a%2Bb%2Bc%29%28b%2Bc-a%29%28c%2Ba-b%29%28a%2Bb-c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Several use of number property arrangements allows the advantage of Difference of Two Squares.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bb%29%2Bc%29%28%28a%2Bb%29-c%29%28-1%29%28%28a-b%29-c%29%28%28a-b%29%2Bc%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Bb%29%2Bc%29%28%28a%2Bb%29-c%29%28-1%29%28%28a-b%29-c%29%28%28a-b%29%2Bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28a%2Bb%29%5E2-c%5E2%29%28-1%29%28%28a-b%29%5E2-c%5E2%29 ALIGN=MIDDLE  ALT=\"%28%28a%2Bb%29%5E2-c%5E2%29%28-1%29%28%28a-b%29%5E2-c%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2%2B2ab%2Bb%5E2-c%5E2%29%28-1%29%28a%5E2-2ab%2Bb%5E2-c%5E2%29 ALIGN=MIDDLE  ALT=\"%28a%5E2%2B2ab%2Bb%5E2-c%5E2%29%28-1%29%28a%5E2-2ab%2Bb%5E2-c%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%28a%5E2%2B2ab%2Bb%5E2-c%5E2%29%28a%5E2-2ab%2Bb%5E2-c%5E2%29 ALIGN=MIDDLE  ALT=\"%28-1%29%28a%5E2%2B2ab%2Bb%5E2-c%5E2%29%28a%5E2-2ab%2Bb%5E2-c%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----Either this one or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%28a%5E2%2Bb%5E2%2B2ab-c%5E2%29%28a%5E2%2Bb%5E2-2ab-c%5E2%29 ALIGN=MIDDLE  ALT=\"%28-1%29%28a%5E2%2Bb%5E2%2B2ab-c%5E2%29%28a%5E2%2Bb%5E2-2ab-c%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----this one would be best<BR>\n" );
document.write( "done using a lattice arrangement for multiplying.    \r<BR>\n" );
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document.write( "Sixteen terms initially occur and a few of them drop due to additive inverses.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%28a%5E4%2Bb%5E4%2Bc%5E4-2a%5E2b%5E2-2a%5E2c%5E2%29 ALIGN=MIDDLE  ALT=\"%28-1%29%28a%5E4%2Bb%5E4%2Bc%5E4-2a%5E2b%5E2-2a%5E2c%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-a%5E4-b%5E4-c%5E4%2B2a%5E2b%5E2%2B2a%5E2c%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28-a%5E4-b%5E4-c%5E4%2B2a%5E2b%5E2%2B2a%5E2c%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----Or this can be arranged for neatness of indicating the additions of terms. </SPAN>\n" );
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