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

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Sayani R.
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Oct 1, 2015

Let

From the binomial expression, write down the general term. Let this term be the *r+1* th term. Now simplify this general term. If this general term is a constant term, then it should not contain the variable *x*.

Let us write the general term of the above binomial.

simplifying, we get,

Now for this term to be the constant term,

Therefore,

=> 3-r =0

=> r=3

Thus, the fourth term in the expansion is the constant term. By putting r=3 in the general term, we will get the value of the constant term.

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