Question

The coefficients in the expansion of (x+y)5 are

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

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

Step-by-step 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:

$1,5,10,10,5,1$