Show that [a+x]ⁿ=aⁿ[1+×/a]ⁿ, a≠0

asked Oct 2, 2022 19.7k views

1 vote

Show that
[a+x]ⁿ=aⁿ[1+×/a]ⁿ, a≠0

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9 votes

Answer:

$Proof~that~(a+x)^n=a^n(1+(x)/(a))^n\\R.H.S. = a^n(1+(x)/(a))^n = [a(1+(x)/(a))]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved$

Lajja Thaker answered Oct 8, 2022

7.7k points