document.write( "Question 1177629: Without expanding, find the coefficient of x^3 in the normal form of
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\n" ); document.write( "\n" ); document.write( "1. (x-1)(x^6+x^5+x^4+x^3+x^2+x+1) \n" ); document.write( "

Algebra.Com's Answer #806741 by ikleyn(52847) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "(x-1)*(x^6+x^5+x^4+x^3+x^2+x+1) = x^7 - 1.\r
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\n" ); document.write( "\n" ); document.write( "This formula is the closest relative of the well known formula for the sum of the first 7 terms of an geometric progression.\r
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