document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085775>Question 1085775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I just want to clarify something:<BR>\n" );
document.write( "Is there a rule for factorials that is a!-(b!c!) = ac!-bc! ?\r<BR>\n" );
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document.write( "An example is 8! - (7!2!), which apparently simplifies to 8*7! - 2*7! = 6*7! = 30240\r<BR>\n" );
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document.write( "Could you please explain how this 'formula' works?\r<BR>\n" );
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document.write( "Thank you very much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699874 by </B><A HREF=/tutors/aboutme.mpl?userid=natolino_2017><B>natolino_2017(77)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=natolino_2017><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=699874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what you can do is this:\r<BR>\n" );
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document.write( "8! = (8)7!\r<BR>\n" );
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document.write( "so you can factorize now as:\r<BR>\n" );
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document.write( "8(7!) -(7!)(2!) = 7! (8-2!) = 7! (8-2) = 7! (6) = (7)(6!)^2 =4.147,200.\r<BR>\n" );
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document.write( "there's not a rule for a! -(b!)(c!), because you need to know the relation between a and b.\r<BR>\n" );
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document.write( "another example is\r<BR>\n" );
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document.write( "10! - (7!(3!) = 10*9*8*(7!) - (7!3!) = 7!( 10*9*8-3!) = 7! (714) = 7! (2*3*7*17) = 3,598,560\r<BR>\n" );
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document.write( "@natolino_ </SPAN>\n" );
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