Which of the following expansion will have term containing `x^2`

Consider the expansion (x^(2)+(1)/(x))^(15) . Consider the following statements: 1. The term containing x^(2) does not exist in the given expansion. 2. The sum of the coefficients of all the terms in the given expansion is 2^(15) . Which of the above statements is/are correct ?

In the following expansion find the indicated term. (2x + (1/3x^2))^6 , 3rd term

Determine whether the expansion of (x^2+2/x)^18 will contain a term containing x^10

In the following expansion find the indicated term. (x^2 - (2/x))^7 , 6th term

Determine whether the expansion of (x^2 - 2/x)^18 will contain a term containing x^10 ?

In the expansion of (1+ x + 7/x)^11 find the term not containing x.