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If C is coefficient of x^2 in the equation (1-x)(1+2x)(1-3x)(1+4x)...(1+14x)(1-15x) , fine the value of |C|

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If C is coefficient of x^2 in the equation (1-x)(1+2x)(1-3x)(1+4x)...(1+14x)(1-15x) , fine the value of |C|
posted Jan 4 by anonymous

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1 Answer

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|C| is the sum of the products of the numbers 1, 2,....,15 taken fourteen at a time. So |C| = 15!/1 + 15!/2 +...+ 15!/14 = 15![1/1 + 1/2 +...+1/14] = 4.251984 x 10¹²

answer Jan 7 by Yasin Hossain Siinan
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