Ask
your own question, for FREE!

Mathematics
79 Online

OpenStudy (anonymous):

In the expansion of (x^3 - (2/x^2))^10, find the term in x^10, the coefficient of 1/x^5 and the constant term.

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

\[(x^3 -\frac{2}{x^2})^{10}\]Right?

OpenStudy (anonymous):

yes :)

OpenStudy (anonymous):

okay Take \(\frac{1}{x^2}\) common and apply binomial expansion ah I don't remember the binomial expansion.

OpenStudy (anonymous):

i remember it. Tr+1 = (n,r) a^n-r * b^r. but i don't know which term will give me x^10. there could be terms added up and all, right?

OpenStudy (anonymous):

ah okay \[T_{r+1} = (n,r) a^{n-r}*b^r\]

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

so we have \(\frac{1}{x^2}\) out that makes it \(\frac{1}{x^{20}}\)

OpenStudy (anonymous):

and the series expansion becomes \((x^5 + 2 )^{10}\) so we need x^15 here to make it \(\frac{1}{x^5}\)

OpenStudy (anonymous):

n-r = 3

OpenStudy (anonymous):

r = 7

OpenStudy (anonymous):

co-efficient is \((10,7)\frac{1}{x^5}*2^7\)

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

exclude the x and you have the coefficient

Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!

Join our real-time social learning platform and learn together with your friends!

Latest Questions

velmalovesshaggy145:
https://voca.ro/1i0uCoyPR2Ar Me and You Cover by Coco Jones and Tyler James Williams - Let It Shine: Disney channel movie Sore throat so I had to go easy on

2 hours ago
0 Replies
0 Medals

velmalovesshaggy145:
Find an angle between 0 degrees and 360 degrees that is coterminal with a 905 degree angle.

3 hours ago
9 Replies
1 Medal

TheAmazingKbw:
yall like this poem? Memories~ Life is crazy But also full of fun Yet when vision

1 hour ago
6 Replies
2 Medals

velmalovesshaggy145:
For my next titantron, should I do Mami ud83dude18 Rhea Ripley, The EST of WWE, B

2 hours ago
8 Replies
0 Medals

BexleyBrooks:
Where are you guys from? Does anyone live in Montana? I feel like I am the only o

6 hours ago
0 Replies
0 Medals

McDonalds:
Doing a project for art class. Pic below, But finish the patrick template i created.

2 hours ago
10 Replies
3 Medals