document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094198>Question 1094198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the indicated product using the shortcut pattern for the cube of a binomial<BR>\n" );
document.write( "(X+5)cubed </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #708824 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=708824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>I will guess that the \"shortcut pattern\" you refer to is from the 3rd row of Pascal's Triangle, which contains the numbers 1 3 3 1.  Those four numbers are the coefficients in the expansion of (a+b)^3.  More specifically, the expansion of (a+b)^3, using the 3rd row of Pascal's Triangle, is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%5E3+=+%281%29a%5E3+%2B+%283%29a%5E2b+%2B+%283%29ab%5E2+%2B+%281%29b%5E3 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%5E3+=+%281%29a%5E3+%2B+%283%29a%5E2b+%2B+%283%29ab%5E2+%2B+%281%29b%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To use the shortcut for cubing any binomial, just replace the a and b with the two terms in your binomial.  For example, if the binomial is (2x-5), then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-5%29%5E3+=+%282x%2B%28-5%29%29%5E3 ALIGN=MIDDLE  ALT=\"%282x-5%29%5E3+=+%282x%2B%28-5%29%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%29%282x%29%5E3+%2B+%283%29%282x%29%5E2%28-5%29+%2B+%283%29%282x%29%28-5%29%5E2+%2B+%281%29%28-5%29%5E3 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E3+-+60x%5E2+%2B+150x+-+125 ALIGN=MIDDLE  ALT=\"8x%5E3+-+60x%5E2+%2B+150x+-+125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now try the same process with your binomial, (x+5). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );