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

Jovs asked Mar 22, 2023

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1 vote

Find the coefficient of
${x}^(2) {y}^(2)$ in the expansion of
( - 6x - y)^(4)

Give answer as an integer

Jovs asked Mar 22, 2023

by Jovs

2.5k points

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15 votes

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

Now we need to remember The Binomial Theorem

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

$Find the coefficient of {x}^(2) {y}^(2)in the expansion of ( - 6x - y)^(4)Give answer-example-1$

$Find the coefficient of {x}^(2) {y}^(2)in the expansion of ( - 6x - y)^(4)Give answer-example-2$

Raj Gohel answered Mar 27, 2023

2.7k points

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