Question

Binomial theorem :)

Answer 1

I have finished using the binomial theorem to expand \((s+3v)^5\), but I need to make sure it is correct :) Is it \(s^5+15s^4v+90s^3v^2+270s^2v^3+405sv^4+243v^5\)

Answer 2

\[(s+y)^5=s^5+5s^4y+10s^3y^2+10s^2y^3+5sy^4+y^5\]
replace y with (3v)

Answer 3

Yes, I did that :)

Answer 4

so first term is right
second term is right
third term is right
4th looks good
and checking last two terms

Answer 5

That is pascal's triangle, isn't it?

Answer 6

3^5 can't do that one in my head :p

Answer 7

yeah

Answer 8

yeah all terms look delicious

Answer 9

Okay, great! Thank you!

Answer 10

http://www.wolframalpha.com/input/?i=%28s%2B3v%29%5E5
and sometimes I use this to check my work

Answer 11

Okay...thanks again!

Answer 12

np