Question

Show that
[a+x]ⁿ=aⁿ[1+×/a]ⁿ, a≠0

Answer 1

`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`