Question

What are the steps to figure this question out
(2u+v)^10

Answer 1

Do you want to expand it?

Answer 2

to the 7th term

Answer 3

(2u+v)^10 = (2u+v)^7 (2u+v)^3

Answer 4

(2u+v)^7 * (2u+v)^3 = (2u+v)^(7+3) = (2u+v)^10.

Is that what you want?

Answer 5

I tried that way and the answer still didn't come out correct it's finding the 7th term
of the binomial

Answer 6

Or do you want to foil it?

Answer 7

So you have to foil it then, and find the 7th term.

Answer 8

1024 x^10+5120 x^9 y+11520 x^8 y^2+15360 x^7 y^3+13440 x^6 y^4+8064 x^5 y^5+3360 x^4 y^6+960 x^3 y^7+180 x^2 y^8+20 x y^9+y^10

Here is is foiled, the 7th term is 3360x^4 y^6

Answer 9

Thank you! That was the answer! There is just more confusing way to do it in the book. I appreciate it!