Hello from MrBillDoesMath!
Answer:
- 8064 x^5 y^5
Discussion:
The binomial theorem gives us the expansion of (a + b) ^n :
(a + b ) ^n
= a^n + na^(n-1)b + (n(n-1)/ 2!) a^(n-2)b^2 +....
In our case, taking the 6th term above, setting a = 2x, b = -y, and n = 10 gives
( (10*9*8*7*6)/ (5 *4*3*2*1) ) * (2x)^5 (-y)^5r
= - 8064 x^5 y^5
Thank you,
MrB
