What is the 4th term in the binomial expansion of (a+b) ^6) ?

A. 20a^3 b^3

B. 20a^2 b^4

C. 15a^3 b^3

D. 15a^4 b^2

option A) that is 20a^3 b^3

Step-by-step explanation:

Given in the question the equation,

(a+b) ^6

Formula for binomial expansion up to 4th term of (a+b) ^6)

1st term 2nd term 3rd term 4th term

6C0 (a) ^6 (b) ^0 + 6C1 (a) ^5 (b) ^1 + 6C2 (a) ^4 (b) ^2 + 6C3 (a) ^3 (b) ^3 + ...

Hence, the 4th term in the binomial expansion of (a+b) ^6 = 6C3 (a) ^3 (b) ^3

= 20 (a) ^3 (b) ^3