document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=423330>Question 423330</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i factor a trinomial such as: xsquared - 14xy -51ysquared </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295287 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=295287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your trinomial is:\r<BR>\n" );
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document.write( "x^2 - 14xy - 51y^2\r<BR>\n" );
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document.write( "your factors will be in the form of:\r<BR>\n" );
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document.write( "(x-ay) * (x+by)\r<BR>\n" );
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document.write( "multiply these factors together and you will get:\r<BR>\n" );
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document.write( "x^2 + bxy - axy - aby^2\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "x^2 + (b-a)xy - aby^2\r<BR>\n" );
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document.write( "since your original equation is:\r<BR>\n" );
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document.write( "x^2 - 14xy -51y^2, this mans that:\r<BR>\n" );
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document.write( "(b-a) must be equal to -14<BR>\n" );
document.write( "ab must be equal to 51\r<BR>\n" );
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document.write( "it just so happens that if a = 17 and b = 3, then you will get:\r<BR>\n" );
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document.write( "x^2 + (3-17)xy - (3*17)y^2 which will become:\r<BR>\n" );
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document.write( "x^2 - 14xy - 51y^2\r<BR>\n" );
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document.write( "so, you need to make a = 17 and b = 3\r<BR>\n" );
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document.write( "the general form of your factors is:\r<BR>\n" );
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document.write( "(x-ay) * (x+by)\r<BR>\n" );
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document.write( "substitute 17 for a and 3 for b to get:\r<BR>\n" );
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document.write( "(x-17y) * (x+3y)\r<BR>\n" );
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document.write( "multiply these factors together to get:\r<BR>\n" );
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document.write( "x^2 + 3xy - 17xy - 51y^2\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "x^2 - 14xy - 51y^2\r<BR>\n" );
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document.write( "your factors are:\r<BR>\n" );
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document.write( "(x-17y) * (x+3y)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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