Answer:
The fifth term of the binomial expansion
[tex]T_{5} = 70 x^{8} y^{20}[/tex]
Step-by-step explanation:
Step:1
Given that the binomial expansion
( x² + y⁵ )⁸
we know that
[tex]T_{r+1} = n_{C_{r} } a^{r} x^{n-r}[/tex] ...(i)
Step:2
put r = 4
[tex]T_{4+1} = 8_{c_{4} } (x^{2} )^{4} (y^{5} )^{8-4}[/tex]
[tex]T_{5} = 70 x^{8} y^{20}[/tex]
Final answer:-
The fifth term of the binomial expansion
[tex]T_{5} = 70 x^{8} y^{20}[/tex]
