What is the sixth term of the binomial expansion for (2x−2y)^6

Answer 1

The formula for the sixth term of the binomial expansion is:

(nCk) * a^(n-k) * b^k

In this case, n = 6, a = 2x, b = -2y, and we want to find the term when k = 5. Plugging in these values, we have:

(6C5) * (2x)^(6-5) * (-2y)^5

Simplifying:

6 * (2x)^1 * (-2y)^5

= 6 * 2x * (-2y)^5

= 6 * 2x * (-32y^5)

= -384x * y^5

So, the sixth term of the binomial expansion for (2x−2y)^6 is -384x * y^5.