Find the Thirteenth Term of : (x^2 + y)^15

Question

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Answer 1

The general term of (a+b)ⁿ is

T_r+1 =n_Cra^n-rb^r

(x^2 + y)^15

a = x^2,b=y, n=15, and r =12

T₁₂₊₁ =15C₁₂(x^2)^15-12(y)¹²

             =((15!/(15-12)!(12!))((x^2)^15-12(y)¹²)       

         =(15!/(3)!(12!) ((x^2)³(y)¹²

          =455x⁶y1²