document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394655>Question 394655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me, Im having so much trouble with this question.\r<BR>\n" );
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document.write( "Use Pascals triangle to expand (x-7)^5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279980 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pascal's triangle is very useful for finding the <BR>\n" );
document.write( "coefficients of any expression of the form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+%2B+b%29%5Ek ALIGN=MIDDLE  ALT=\"%28a+%2B+b%29%5Ek\"   DISABLED_style= \"max-width:90%; height:auto;\" > , where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+1%2C2%2C3%2C+.+.+. ALIGN=MIDDLE  ALT=\"k+=+1%2C2%2C3%2C+.+.+.\"   DISABLED_style= \"max-width:90%; height:auto;\" > etc.<BR>\n" );
document.write( "Each entry is the sum of the entries on the <BR>\n" );
document.write( "previous line on the left and right.<BR>\n" );
document.write( "the triangle looks like:\r<BR>\n" );
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document.write( "1 - - - - -  1<BR>\n" );
document.write( "1 - -  2-  - 1<BR>\n" );
document.write( "1 - 3 - -3 -1<BR>\n" );
document.write( "1 4 - 6 -   4 1<BR>\n" );
document.write( "It's hard to show on the computer, but<BR>\n" );
document.write( "the next line is the one you need:<BR>\n" );
document.write( "1 - 5 - 10 - 10 - 5 - 1<BR>\n" );
document.write( "These are the coefficients of the <BR>\n" );
document.write( "expansion of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+%2B+b%29%5E5 ALIGN=MIDDLE  ALT=\"%28a+%2B+b%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It tells you there are 6 terms in<BR>\n" );
document.write( "the expansion.<BR>\n" );
document.write( "The first term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E5 ALIGN=MIDDLE  ALT=\"a%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the coefficient is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The last term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E5 ALIGN=MIDDLE  ALT=\"b%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the coefficient is also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The whole expansion looks like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E5+%2B+5a%5E4b+%2B+10a%5E3b%5E2+%2B+10a%5E2b%5E3+%2B+5a%2Ab%5E4+%2B+b%5E5 ALIGN=MIDDLE  ALT=\"a%5E5+%2B+5a%5E4b+%2B+10a%5E3b%5E2+%2B+10a%5E2b%5E3+%2B+5a%2Ab%5E4+%2B+b%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You may wonder what this does for you.<BR>\n" );
document.write( "Well, I you just say<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+x ALIGN=MIDDLE  ALT=\"a+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-7 ALIGN=MIDDLE  ALT=\"b+=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, your problem is solved<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5+%2B+5x%5E4%2A%28-7%29+%2B+10x%5E3%2A%28-7%29%5E2+%2B+10x%5E2%2A%28-7%29%5E3+%2B+5x%2A%28-7%29%5E4+%2B+b%5E5 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "Here's a list of the nasty powers of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7 ALIGN=MIDDLE  ALT=\"-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-7%29%5E2+=+49 ALIGN=MIDDLE  ALT=\"%28-7%29%5E2+=+49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-7%29%5E3+=+-343 ALIGN=MIDDLE  ALT=\"%28-7%29%5E3+=+-343\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-7%29%5E4+=+2401 ALIGN=MIDDLE  ALT=\"%28-7%29%5E4+=+2401\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-7%29%5E5+=+-16807 ALIGN=MIDDLE  ALT=\"%28-7%29%5E5+=+-16807\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5+-+35x%5E4+%2B+490x%5E3+-+3430x%5E2+%2B+12005x+-+16807 ALIGN=MIDDLE  ALT=\"x%5E5+-+35x%5E4+%2B+490x%5E3+-+3430x%5E2+%2B+12005x+-+16807\"   DISABLED_style= \"max-width:90%; height:auto;\" >  answer<BR>\n" );
document.write( "Hope this helps\r<BR>\n" );
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document.write( "   </SPAN>\n" );
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