document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=518091>Question 518091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i reduce these equations\r<BR>\n" );
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document.write( "8x^2 - 50y^2<BR>\n" );
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document.write( "8x^2 - 18XY -5y^2\r<BR>\n" );
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document.write( "5x - 10 _____ 3x^2 + 18x +27<BR>\n" );
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document.write( "6x + 18 * 5x^2 + 5x - 30\r<BR>\n" );
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document.write( "4  _____________   1       <BR>\n" );
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document.write( "x^2 + 4x   + x + 4\r<BR>\n" );
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document.write( "a/b + 1<BR>\n" );
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document.write( "a^2/b^2 - 1 \r<BR>\n" );
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document.write( "5   ____________    7<BR>\n" );
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document.write( "2y + 3       4y - 3\r<BR>\n" );
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document.write( "saliym1988@yahoo.com </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #345038 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=345038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "I can't make heads or tails out of most of your mess.  Use lots of parentheses and a forward slash to indicate the vinculum next time.  And either capitalize all of your variables or don't capitalize any of them.  X and x are two different things.\r<BR>\n" );
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document.write( "Also, one problem per post.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{8x^2\ -\ 50y^2}{8x^2\ -\ 18x\ -\ 5y^2}\">\r<BR>\n" );
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document.write( "Factor a 2 out of the numerator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{2(4x^2\ -\ 25y^2)}{8x^2\ -\ 18x\ -\ 5y^2}\">\r<BR>\n" );
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document.write( "Factor the difference of two squares in the numerator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{2(2x\ -\ 5y)(2x\ +\ 5y)}{8x^2\ -\ 18x\ -\ 5y^2}\">\r<BR>\n" );
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document.write( "Factor the denominator:  (Hint: you should expect at least one of your numerator factors to show up in the denominator, otherwise the original fraction is irreduceable)\r<BR>\n" );
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document.write( "Try <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2x\ +\ 5y\">.  That would mean that the first term of the other factor would have to be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4x\">, the second term would have to be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\"> and because the first factor has a plus sign, and the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y^2\"> term sign is negative, the second factor must have a minus sign.\r<BR>\n" );
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document.write( "So do FOIL on <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (2x\ +\ 5y)(4x\ + y)\"> to see if it equals <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 8x^2\ -\ 18xy\ -\ 5y^2\">.  If it works you are done and can eliminate the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2x\ +\ 5y\"> factor from both numerator and denominator.  If it doesn't work then you have to try <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x\ -\ 5y\">.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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