Respuesta :

Answer:

-126

Step-by-step explanation:

For the binomial expression  [tex](a-b)^{n}[/tex] the coefficient of [tex](r+1)^{th}[/tex] term is given by [tex]{n \choose r} \times -1^{(r)}[/tex].

We have to find the coefficient of 6th term in the binomial expansion of

[tex](x^{3}-y^{4})^{9}[/tex].

Hence n=9 and r=5

The coefficient of 6th term = [tex]{9 \choose 5} \times (-1)^{5}[/tex]

                                             = [tex]-{9 \choose 5}[/tex]

                                             = -126

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