document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=624443>Question 624443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Why is the product of squaring a binomial a perfect square trinomial?\r<BR>\n" );
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document.write( "I need your help on our topic about Squaring Binomials. Please answer my question immediately. Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #392789 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=392789\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First off, a perfect square is a perfect square. If you want to know why it is a trinomial (as opposed to a polynomial with four terms or two terms) here's why.\r<BR>\n" );
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document.write( "Let a and b be two arbitrary monomials (e.g. a = 5xy, b = 2z, etc.). Then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (a+b)^2 = a^2 + ab + ba + b^2 = a^2 + 2ab + b^2\">\r<BR>\n" );
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document.write( "Regardless of our choice of a and b (as long as they're monomials), <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (a+b)^2\"> will have three terms. The exception is if a = 0, or a = b, etc. but in this case we'll assume the binomial is in simplest form. </SPAN>\n" );
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