Respuesta :
Answer:
The coefficients in increasing order of k are;
1, 4, 6, 4, 1
Step-by-step explanation:
The expansion of (x+y)^4 falls under the category of binomial expansions in which the coefficients are computed using combinations;
For k = 0, the coefficient is;
4 combination 0 = 1
For k = 1, the coefficient is;
4 combination 1 = 4
For k = 2, the coefficient is;
4 combination 2 = 6
For k = 3, the coefficient is;
4 combination 3 = 4
For k = 4, the coefficient is;
4 combination 4 = 1
These values can also be obtained from the Pascal's triangle;
The coefficients always exhibit some degree of symmetry
