document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75063>Question 75063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i go about finding this trinomials of this?\r<BR>\n" );
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document.write( "16x^2+40xy+25y^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53909 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=53909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I don't quite understand your question but I think you're asking...\"How would I factor this trinomial\" Am I right?<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x%5E2%2B40xy%2B25y%5E2 ALIGN=MIDDLE  ALT=\"16x%5E2%2B40xy%2B25y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Notice that the first and last terms are perfect squares.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%5E2+%2B+40xy+%2B+%285y%29%5E2 ALIGN=MIDDLE  ALT=\"%284x%29%5E2+%2B+40xy+%2B+%285y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > This suggests the possibility that the factors might be squared.  Let's see!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%5E2%2B40xy%2B%285y%29%5E2+=+%284x%2B5y%29%284x%2B5y%29 ALIGN=MIDDLE  ALT=\"%284x%29%5E2%2B40xy%2B%285y%29%5E2+=+%284x%2B5y%29%284x%2B5y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To check this, we'll multiply theses factors to see if we get back the original trinomial: Using the FOIL method...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%2B5y%29%284x%2B5y%29+=+16x%5E2%2B+20xy%2B20xy%2B25y%5E2 ALIGN=MIDDLE  ALT=\"%284x%2B5y%29%284x%2B5y%29+=+16x%5E2%2B+20xy%2B20xy%2B25y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify this to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x%5E2%2B40xy%2B25y%5E2 ALIGN=MIDDLE  ALT=\"16x%5E2%2B40xy%2B25y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is your original trinomial.<BR>\n" );
document.write( "So the factors are: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%2B5y%29%284x%2B5y%29+=+%284x%2B5y%29%5E2 ALIGN=MIDDLE  ALT=\"%284x%2B5y%29%284x%2B5y%29+=+%284x%2B5y%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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