Question

Using the expansion for the binomial: ( x^3 − y^4 )^9 :The coefficient for the 6th term is

Answer 1

Answer:

-126

Step-by-step explanation:

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

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

$(x^{3}-y^{4})^{9}$.

Hence n=9 and r=5

The coefficient of 6th term = ${9 \choose 5} \times (-1)^{5}$

                                             = $-{9 \choose 5}$

                                             = -126