The sum of coefficients

Algebra Level 2

What is the sum of all the coefficients of the multinomial expansion of ( x 2 + 3 x 3 ) 50 (x^2+3x-3)^{50} ?


The answer is 1.

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1 solution

Lucas Nascimento
Aug 13, 2016

(x^2 +3x-3)^50 = P(x)=a1.x^n +a2.x^m....+an,that note P(1) = (1^2+3-3. 1) ^50 =1 = a1+a2+a3. . . +an, then the sum of the coefficients of x^2 +3x-3=P (1) =1.

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