MATH SOLVE

5 months ago

Q:
# what is the 4th term in the binomial expansion of (a+b)^6)?A.20a^3 b^3B.20a^2 b^4C.15a^3 b^3D.15a^4 b^2

Accepted Solution

A:

Answer:option A) that is 20a^3 b^3Step-by-step explanation:Given in the question the equation,(a+b)^6Formula for binomial expansion up to 4th term of (a+b)^6) 1st term 2nd term 3rd term 4th term6C0 (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