Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Find the fourth term of (x + y)^7

Options
A x^4 y^3
B x^3 y^4
C 35x^4 y^3
Correct Answer
D 4x^3 y^4
Correct Answer

Option C is the correct answer.

Detailed Explanation

In binomial expansion (x+y)^7, the (r+1)th term is C(7,r) x^(7-r) y^r. Fourth term means r=3: T₄ = C(7,3) x^(7-3) y^3 = 35 x^4 y^3.

Hint

The general term is C(n,r) x^(n-r) y^r.

Question Info