document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=338082>Question 338082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of (a + b)(a &#8722; b) is a perfect square trinomial?\r<BR>\n" );
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document.write( "A: Sometimes<BR>\n" );
document.write( "B: Always <BR>\n" );
document.write( "C: Never\r<BR>\n" );
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document.write( "isnt it always? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #242375 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20055)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=242375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color = \"indigo\"><b><BR>\n" );
document.write( "No, for to be a perfect square it must be the product of two identical factors.<BR>\n" );
document.write( "(a+b) and (a-b) are NOT necessarily identical at all.  There are cases when<BR>\n" );
document.write( "it would in the end turn out to be the product of two identical factors.  For<BR>\n" );
document.write( "instance if a=5 and b=3, then\r<BR>\n" );
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document.write( "(a+b)(a-b) = (5+3)(5-3) = (8)(2) = 16 and 16 is 4×4 or the perfect <BR>\n" );
document.write( "square 4².\r<BR>\n" );
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document.write( "Also it will be a perfect square if b=0 because\r<BR>\n" );
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document.write( "(a+b)(a-b) = (a+0)(a-0) = (a)(a) = a², which is a perfect square, \r<BR>\n" );
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document.write( "But in general it is not necessarily a perfect square. So the correct answer<BR>\n" );
document.write( "is \"sometimes\".\r<BR>\n" );
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document.write( "Edwin</font>\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );