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

User Saumil
by
5.1k points

1 Answer

1 vote

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:

Find the coefficient of {x}^(2) {y}^(2)in the expansion of ( - 6x - y)^(4)Give answer-example-1
Find the coefficient of {x}^(2) {y}^(2)in the expansion of ( - 6x - y)^(4)Give answer-example-2
User Carte Blanche
by
4.7k points
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