document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=575717>Question 575717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having a real hard time with factoring.  This stuff just is not clicking.  Can you please help me?  \r<BR>\n" );
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document.write( "Here is my problem:\r<BR>\n" );
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document.write( "R3-125t2  I know it isn't factorable but can you tell?  Is it because there is no number before r cubed?<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 #369593 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=369593\">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( "No, it isn't factorable because you have an <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r^3\"> term.  If it had been <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r^2\">, then you would have the difference of 2 squares (sorta, since <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sqrt{125}\ =\ 5\sqrt{5}\"> which is irrational), but there is no general factorization of the difference of a cube and a square.\r<BR>\n" );
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document.write( "You could factor it as the difference of two cubes if you recognize that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t^2\ =\ \left(t^{\frac{2}{3}}\right)^3\">, then using the pattern\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ a^3\ -\ b^3\ =\ (a\ -\ b)\left(a^2\ +\ ab\ +\ b^2\right)\">\r<BR>\n" );
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document.write( "to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ r^3\ -\ 125t^2\ =\ \left(r\ -\ 5t^{\frac{2}{3}}\right)\left(r^2\ +\ 5rt^{\frac{2}{3}}\ +\ 25t^{\frac{4}{3}}\right)\">\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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