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

Sagot :

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]

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