104k views
0 votes
What is the third term in (x + y)^6?

a. 12x^4y^2
b. 15x^3y^3
c. 15x^4y^2
d. 15x^2y^4

User Nemani
by
7.9k points

1 Answer

4 votes

Final answer:

The third term in the expansion of (x + y)^6 is 15x^4y^2.

Step-by-step explanation:

The third term in the expansion of (x + y)^6 can be found using the binomial theorem.

The general formula for the nth term in the expansion of (a + b)^n is given by C(n, k) * a^(n-k) * b^k, where k represents the term's position.

In this case, n = 6 and k = 2. Plugging these values into the formula, we get C(6, 2) * x^(6-2) * y^2. C(6, 2) is the number of combinations of 6 items taken 2 at a time, which is 15.

Therefore, the third term is 15x^4y^2 (option c).

User Holmesal
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories