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Sum of Coefficients of All Terms

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Question

Find the sum of the coefficients in the expansion of the binomial ${(5 p - 4 q)}^{n}$ ,where $n$ is a positive integer.

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Solution

Put p=q=1 in $(5 p - 4 q)^{n}$ , the required sum of coefficient = $(5 - 4)^{n} = 1^{n} = 1$

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