Question

(x + 2) is raised to the fifth power. The third term of the expansion is:

Answer 1

C(5, 3)x²2³

Explanation:

Answer 2

To determine the nth term of a binomial expansion, we can use the formula given as:

nth term = rCn-1 (x^r-n+1)y^n-1

where n is the nth term and r is the power of the expansion

We calculate as follows:
(x + 2)^5
n = 3
r = 5


nth term = rCn-1 (x^r-n+1)y^n-1

3rd term = 5C4 (x^3)y^2
3rd term = 5x^3y^2