Let a,b, and c be real numbers such that a>b and c>d. Enter the letters of the statements below that must be true.

Let \(a,b,\) and \(c\) be real numbers such that \( a > b\) and \(c>d\).

Enter the letters of the statements below that must be true.

(A) \( a + c > b + d\)

(B) \( 2a + 3c > 2b + 3d\)

(C) \(a - c > b - d\)

(D) \(ac > bd\)

(E) \(a^2 + c^2 > b^2 + d^2\)

(F) \( a^3 + c^3 > b^3 + d^3\)