Question

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

Answer 1

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

Explanation:

The trick here is that the expansion are the

numbers in pascal triangle

1

1,1

1,2,1

1,3,3,1

1,4,6,41,

1,5 ,10, 10, 5, 1

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

Answer 2

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

Explanation:

The Coefficients ; (x + y)^6

The coefficients can be obtained as follows :

6C0 ; 6C1 ; 6C2 ; 6C3 ; 6C4 ; 6C25 ; 6C26

nCr = n! ÷ (n-r)! r!

Using calculator to get the direct values :

We have :

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