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Question Number 63836 by gunawan last updated on 10/Jul/19

If n ∈ N, then the sum of the coefficients  in the expansion of  the binomial  (5x−4y)^n  is

$$\mathrm{If}\:{n}\:\in\:{N},\:\mathrm{then}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{coefficients} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{expansion}\:\mathrm{of}\:\:\mathrm{the}\:\mathrm{binomial} \\ $$$$\left(\mathrm{5}{x}−\mathrm{4}{y}\right)^{{n}} \:\mathrm{is} \\ $$

Commented by kaivan.ahmadi last updated on 10/Jul/19

x=y=1⇒(5−4)^n =1

$${x}={y}=\mathrm{1}\Rightarrow\left(\mathrm{5}−\mathrm{4}\right)^{{n}} =\mathrm{1} \\ $$

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