How do I find the binomial expansion of $(1+12x)^(3/4)$ ?

Question

2459 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-02-21T03:21:56

Use the general formula

$(1+X)^\alpha = \sum_{n=0}^\infty (alpha(alpha-1)(alpha -2) ... (alpha -n +1))/(n!) X^n$

$(1+X)^\alpha = 1 + alpha X + (alpha (alpha -1))/2 X^2 + (alpha (alpha -1)(alpha-3))/6 X^3 + ...$

with $alpha = 3/4$ and $X = 12x$ .

How do I find the binomial expansion of (1+12x)^(3/4)(1+12x)^(3/4)?