asked 106k views
4 votes
The coefficients in the expansion of (x+y)5 are

2 Answers

5 votes

Answer:

i believe 5 is the coefficient as the coefficient is always then number thats in the expression next to the variables

Explanation:

answered
User Wesleywh
by
8.8k points
4 votes

Answer:
1,5,10,10,5,1

Explanation:

By definition, we know that:


(a + b)^5 = a^5 + 5a^4b + 10a^3b^2 + 10a^2b^3 + 5ab^4 + b^5

In this case we can identify that:


a=x\\b=y

Then, we can expand the binomial:


(x+y)^5 = x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5

Since the a coefficient is the numerical value of a term, we can identify that the coefficients of the expansion are:


1,5,10,10,5,1

answered
User Misaochan
by
8.6k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.