Question

Write the 6th term of the expansion of

(x^2-2y)^9

and simplify.

Thanks!

Answer 1

http://hyperphysics.phy-astr.gsu.edu/hbase/alg3.html

I will be happy to check your work.

Answer 2

Thanks for the link.

But what happens when there is a number in front of one of the variables, like the 2y instead of y?

Thanks again.

Answer 3

Do (a+b)^9 with the formula
a^9 + 9 a^8b + 36 a^7b^2 + 84 a^6b^3 + 126 a^5b^4 ..... etc
Then let a = x^2
and let b= (2y)
so for example b^3 = (2y)^3 = 8y^3