document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192338>Question 192338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you factor 125t cubed+8.  our book gives this answer:<BR>\n" );
document.write( "(5t + 2)(25t squared- 10t+ 4)\r<BR>\n" );
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document.write( "thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144364 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=144364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 125t^3 + 8<BR>\n" );
document.write( ".<BR>\n" );
document.write( "What you're suppose to see is that this is the same as:<BR>\n" );
document.write( "(5t)^3 + 2^3<BR>\n" );
document.write( "Which is a special case -- \"sum of cubes\".<BR>\n" );
document.write( "See this web site for additional info:<BR>\n" );
document.write( "http://www.purplemath.com/modules/specfact2.htm<BR>\n" );
document.write( ".<BR>\n" );
document.write( "a^3 + b^3 = (a + b)(a^2 – ab + b^2) <BR>\n" );
document.write( "In your case:<BR>\n" );
document.write( "a is 5t<BR>\n" );
document.write( "b is 2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Therefore:<BR>\n" );
document.write( "125t^3 + 8<BR>\n" );
document.write( "= (5t)^3 + 2^3<BR>\n" );
document.write( "= (5t + 2)((5t)^2 - (5t)(2) + 2^2)<BR>\n" );
document.write( "= (5t + 2)(25t^2 - 10t + 4)<BR>\n" );
document.write( " </SPAN>\n" );
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