Question

The coefficients in the expansion of (x+y)6 are?

Answer 1

1, 6, 15, 20, 15, 6, 1

Step-by-step explanation:

Given the expression

(x+y)^6

To determine the coefficient of the expansion, we will use the pascal triangle as shown:

For degree 0, coefficeint is 1

For degree 1, coefficeint is 1, 1

For degree 2, coefficeints are 1, 2, 1

For degree 3, coefficeints are 1, 3, 3, 1

For degree 4, coefficeints are 1, 4, 6, 4, 1

For degree 5, coefficeints are 1, 5, 10, 10, 5, 1

For degree 6, coefficeints are 1, 6, 15, 20,15, 6, 1

Hence the coefficients in the expansion are 1, 6, 15, 20,15, 6, 1