If-n-N-then-the-sum-of-the-coefficients-in-the-expansion-of-the-binomial-5x-4y-n-is-

Question Number 63835 by gunawan last updated on 10/Jul/19

If n \in N, then the sum of the coefficients

in the expansion of the binomial

{(5 x - 4 y)}^{n} is

Commented by mr W last updated on 10/Jul/19

{(5 x - 4 y)}^{n} = \underset{k = 0}{\sum^{n}} a_{k} x^{k} y^{n - k}

{(5 \times 1 - 4 \times 1)}^{n} = \underset{k = 0}{\sum^{n}} a_{k}

\Rightarrow s u m o f c o e f . = {(5 \times 1 - 4 \times 1)}^{n} = 1^{n} = 1

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