Find the coefficient of {x}^(2) {y}^(2)in the expansion of ( - 6x - y)^(4)Give answer as an integer

Question

Find the coefficient of
`{x}^(2) {y}^(2)`in the expansion of
`( - 6x - y)^(4)`Give answer as an integer

Answer 1

Since the binomial is elevated to a even power, we have that:

`(-6x-y)^4=(6x+y)^4`

Now we need to remember The Binomial Theorem

We now apply the previous formula to our particular problem, obtaining: