Find the 5th term in the expansion of the binomial 2x 48 45

Find the 5th term in the expansion of the binomial. (2x - 4)8 -458,752x3 286,720x4 458,752x3 35,840x4

Solution

5th term in binomial expansion : (2x -4)^8

8C4(2x)^(8-4)*(-4)^4

= 70*(16x^4)*(256)

=286720x^4 Option no. 2

3rd term in ( x- 2y)^12

12C2(x)^(12-2)(-2y)^2

= 66x^10*4y^2

= 264x^10y^2

Option --1