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

526,624 views

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

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

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

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers