2 - chapter 6 - general binomial expansion

Question 1

(1+x)^n

Answer 1

if |x|<1
= 1 + nx + n(n-1)/2! x^2 +n(n-1)(n-2)/3! x^3 ….

Question 2

(a +bx)^n

Answer 2

a^n (1+bx/a)^n
if |bx/a|<1