Question

Find the fifth term of the binomial expansion.
(x2+y5) ^8

Answer 1

The fifth term of the binomial expansion

`T_(5) = 70 x^(8) y^(20)`

Explanation:

Step:1

Given that the binomial expansion

( x² + y⁵ )⁸

we know that

`T_(r+1) = n_{C_(r) } a^(r) x^(n-r)` ...(i)

Step:2

put r = 4

`T_(4+1) = 8_{c_(4) } (x^(2) )^(4) (y^(5) )^(8-4)`

`T_(5) = 70 x^(8) y^(20)`

Final answer:-

The fifth term of the binomial expansion

`T_(5) = 70 x^(8) y^(20)`