## (Math Quiz 10 – CT) In the expansion ({left( {3{x^2} – y} right)^{10}}), the coefficient of the middle term is:

• Question:

In the expansion $${\left( {3{x^2} – y} \right)^{10}}$$, the coefficient of the middle term is:

Reference explanation:

In the expansion $${\left( {3{x^2} – y} \right)^{10}}$$ there are 11 terms in all, so the middle term is the th term.
So the coefficient of the middle term is $$- {3^5}.C_{10}^5$$.