document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=27740>Question 27740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor:\r<BR>\n" );
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document.write( "How do I do this ?\r<BR>\n" );
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document.write( "Factor:<BR>\n" );
document.write( "y^3+125\r<BR>\n" );
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document.write( "Thanks for your help and time, it's greatly appreciated ! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15110 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=15110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor:<BR>\n" );
document.write( "How do I do this ?<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "y^3+125\r<BR>\n" );
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document.write( "y^3+125<BR>\n" );
document.write( "=(y)^3 + (5)^3<BR>\n" );
document.write( "=(y+5)[(y)^2 - (y)(5) + (5)^2]    <BR>\n" );
document.write( "(using formula:=(a)^3 + (b)^3 =(a+b)[(a)^2 - (a)X(b) + (b)^2] <BR>\n" );
document.write( "In this problem a = y and b= 5)<BR>\n" );
document.write( "=(y+5)(y^2-5y+25)<BR>\n" );
document.write( "Note: The formula [(a)^3 + (b)^3] =(a+b)[(a)^2 - (a)(b) + (b)^2] is derived from the formula (a+b)^3 = a^3 +b^3 +3ab(a+b)<BR>\n" );
document.write( "Now therefore we have a^3 +b^3 +3ab(a+b)= (a+b)^3 <BR>\n" );
document.write( "which implies <BR>\n" );
document.write( "[a^3 +b^3] = (a+b)^3 - 3ab(a+b) (changing side then changing sign)<BR>\n" );
document.write( "= p^3 - 3abp where p = (a+b)<BR>\n" );
document.write( "= p[(p)^2 - 3ab]<BR>\n" );
document.write( "=(a+b)[(a^2+b^2+2ab)-3ab]<BR>\n" );
document.write( "=(a+b)[a^2+b^2+(2ab-3ab)] (by additive associativity)<BR>\n" );
document.write( "=(a+b)[a^2+b^2+ -ab] <BR>\n" );
document.write( "= (a+b)[(a)^2 - ab + (b)^2] \r<BR>\n" );
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document.write( "   \r<BR>\n" );
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document.write( " </SPAN>\n" );
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