# How do I find the constant term from a given binomial without expanding the whole expression?

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#(x - 1/x^(1/3))^12#

##### 1 Answer

See below for an idea:

#### Explanation:

The constant term in a binomial expansion is the one, if it exists, that has no variable terms within it.

This prior answer on Socratic has a great explanation on how to find the constant term:

How do I use the binomial theorem to find the constant term?

Following the instructions in that answer, we first set up the general term:

and now simplifying:

The constant term is the one that will have

giving

Therefore, the 9th term in the expansion is the one with no

and to show that (i.e. checking our work):