Coefficient Cleverly Crafted

Algebra Level pending

Find the sum of the coefficients of the polynomial ( 63 x 61 ) 4 (63x-61)^4 .


The answer is 16.

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1 solution

Danish Ahmed
Nov 22, 2015

Substitute x = 1 x=1 to get ( 63 61 ) 4 = 2 4 = 16 (63-61)^4=2^4=16 which is the required sum of the coefficient

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