document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101495>Question 1101495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q. Express the following as the square of a binomial.\r<BR>\n" );
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document.write( "1. a^2-1+1/4a^2\r<BR>\n" );
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document.write( "Please show me in detail. Thank you.<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 #716414 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13216)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=716414\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "What kind of detail are you looking for?<br><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-1%2B1%2F4a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2-1%2B1%2F4a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is to be the square of a binomial (X+Y), then X squared has to be equal to a^2 (which means X is a), and Y^2 has to be 1/4a^2 (which means Y is 1/2a).<br><BR>\n" );
document.write( "Then, seeing that the middle term of the given expression is negative, we know the binomial we are looking for has to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+-+1%2F2a ALIGN=MIDDLE  ALT=\"a+-+1%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "This is verified when we square the binomial <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+-+1%2F2a ALIGN=MIDDLE  ALT=\"a+-+1%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-1%2B1%2F4a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2-1%2B1%2F4a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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