Question

How do you use the Binomial Theorem to expand `(1 + 3x)^(3/2)`?

Answer 1

You make use of the binomial coefficients applied to the `3/2` exponent

Explanation:

`(1+3x)^{\frac{3}{2}} =1 + 3/2 3x + 1/2 3/2(3/2-1)x^2 + 1/6 3/2 (3/2-1)(3/2-2)x^3.... = 1 + 9/2x + 3/8 x^2 - 1/16 x^3...`