Question

Write the fifteenth term of the binomial expansion of (v−w^2)^22

Answer 1

Explanation:

`T_(r+1)=nc_(r)x^(n-r)a^r\\x=v\\a=-w^2\\n=22\\r+1=15\\r=15-1=14\\22c_(14)=22c_(22-14)=22c_(8)\\ T_(15)=22c_(8)v^(22-14)(-w^2})^(14)\\T_(15)=22c_(8)v^8w^(28)`