Question

Find the 4th term in the expansion of (x + y)4.

A. x^4
B. 4xy^3
C. 6x^2y^2
D. y^4

Answer 1

The 4th term in the expansion of (x + y)^4 is y^4.

Step-by-step explanation:

To find the 4th term in the expansion of (x + y)^4, we need to use the binomial theorem. The binomial theorem states that the kth term in the expansion of (a + b)^n can be found using the formula:

nCk * a^(n-k) * b^k

In this case, n = 4 and we want to find the 4th term, so k = 4. Plugging these values into the formula, we get:

4C4 * x^(4-4) * y^4 = 1 * x^0 * y^4 = y^4

Therefore, the 4th term in the expansion of (x + y)^4 is y^4.