Find the coefficient of x r in the following expression : (x+2) n + (x+2) n-1 (x+1) + (x+2) n-2 (x+1) 2 + ... + (x+1) n

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Find the coefficient of x r in the following expression : (x+2) n + (x+2) n-1 (x+1) + (x+2) n-2 (x+1) 2 + ... + (x+1) n

Find the coefficient of x^rin the following expression :
(x+2)ⁿ+ (x+2)^n-1(x+1) + (x+2)^n-2(x+1)²+ ... + (x+1)ⁿ

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Find the coefficient of x r in the following expression : (x+2) n + (x+2) n-1 (x+1) + (x+2) n-2 (x+1) 2 + ... + (x+1) n

Find the coefficient of xr in the following expression :(x+2)n + (x+2)n-1(x+1) + (x+2)n-2(x+1)2 + ... + (x+1)n

2 Answers

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Find the coefficient of x^rin the following expression :
(x+2)ⁿ+ (x+2)^n-1(x+1) + (x+2)^n-2(x+1)²+ ... + (x+1)ⁿ