Let's verify the given equations with the values A = 2, B = 3, and C = 5:
* a + (b + c) = (a + b) + c
* LHS (left-hand side): A + (B + C) = 2 + (3 + 5) = 2 + 8 = 10
* RHS (right-hand side): (A + B) + C = (2 + 3) + 5 = 5 + 5 = 10
Result: LHS = RHS. The equation holds true.
* a - (b - c) ≠ (a - b) - c
* LHS: A - (B - C) = 2 - (3 - 5) = 2 + (2) = 4
* RHS: (A - B) - C = (2 - 3) - 5 = -1 - 5 = -6
Result: LHS ≠ RHS. The equation does not hold true.
