document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927998>Question 927998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the coefficient of x^2y^5 when (x &#8722; 2y)^7 is expanded? <BR>\n" );
document.write( "Hint: Remember the &#8722;2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563388 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "For the coefficients, use the seventh row of Pascal's triangle , or combinations formula: C(7,n-1)\r<BR>\n" );
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document.write( "keep in mind the exponents will have a sum of 7 in each term, and the first factor will decrease in power as the second increases.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%5E7%2A%28-2y%29%5E0%2B7%2A%28x%29%5E6%2A%28-2y%29%5E1%2B21%2A%28x%29%5E5%2A%28-2y%29%5E2%2B35%2A%28x%29%5E4%2A%28-2y%29%5E3+%2B35%2A%28x%5E3%29%2A%28-2y%29%5E4%2B+highlight%2821%28x%29%5E2%2A%28-2y%29%5E5%29+%2B+7%28x%29%5E1%2A%28-2y%29%5E6+%2B%28x%29%5E0%2A%28-2y%29%5E7 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now simplify each term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E7+-14x%5E6y+%2B84x%5E5y%5E2+-280x%5E4y%5E3+%2B+560x%5E3y%5E4+-highlight%28672%29x%5E2y%5E5+%2B+448xy%5E6+-128y%5E7+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, your coefficient is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2A%28-2%29%5E5=21%2A%28-32%29=-672 ALIGN=MIDDLE  ALT=\"21%2A%28-2%29%5E5=21%2A%28-32%29=-672\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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