binomial expansion

Question

for the binomial expansion in descending powers of x of (x^3 - 1/2x)^12

a) find the first four terms, simplifying each term.
b) find, in its simplest form,the term independent of x in this expansion.

Answer 1

From the binomial theorem

a) First four terms in the binomial  expansion

Substitute the values

b)

 We need a term of the form so that the overall exponent on x  is zero.

So the term independent of x  is

.

 

Comments

Thnx :)