Given ax ^ 4 + BX ^ 3 + CX ^ 2 + DX + e = (X-2) ^ 4, find the value of a + B + C + D + E and the value of a + C

Given ax ^ 4 + BX ^ 3 + CX ^ 2 + DX + e = (X-2) ^ 4, find the value of a + B + C + D + E and the value of a + C

Let x = 1
Then a + B + C + D + e = (1-2) ^ 4 = 1
x=0
Then 0 + 0 + 0 + 0 + e = (0-2) ^ 4
e=16
x=-1
Then A-B + C-D + e = (- 1-2) ^ 4 = 81
a+b+c+d+e=1
Add
2(a+c)+2e=82
a+c=25