document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=403034>Question 403034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^2-5x+(25/4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285082 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=285082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First let's review one of the factoring patterns: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-b%29%28a-b%29+=+a%5E2+-2ab+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"%28a-b%29%28a-b%29+=+a%5E2+-2ab+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The first term is a prefect square. It is the square of a. The last term is also a perfect square, It is the square of b. And the middle term subtracted and it is 2 times the a times the b.<br><BR>\n" );
document.write( "Now let's look at your expression:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+5x+%2B+%2825%2F4%29 ALIGN=MIDDLE  ALT=\"x%5E2+-+5x+%2B+%2825%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Your first term is a perfect square. It is the square of x. So \"x\" is our \"a\". The last term is a perfect square. It is the square of 5/2. (Think about it.) So 5/2 is our \"b\". The middle term is subtracted and it is 2 times the \"a\" times the \"b\":<BR>\n" );
document.write( "2*x*(5/2) = 5x<BR>\n" );
document.write( "Looking at your expression this way we can now see how to factor is according to the pattern:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x%2B%2825%2F4%29+=+%28x-5%2F2%29%28x-5%2F2%29 ALIGN=MIDDLE  ALT=\"x%5E2-5x%2B%2825%2F4%29+=+%28x-5%2F2%29%28x-5%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x%2B%2825%2F4%29+=+%28x-5%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-5x%2B%2825%2F4%29+=+%28x-5%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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