Question

Apply the binomial theorem to find the first three terms in ascending powers of x of (1 + x)ⁿ, where n=32

Answer 1

for any n, we have

(1+x)^n = 1^n + n*1^(n-1)x + n(n-1)/2 1^(n-2)x^2 + ...
= 1 + nx + n(n-1)/2 x^2 + ...

So, plug in n=32