Option 1 states that energy can be both created and destroyed. This statement is incorrect. According to the law of conservation of energy, energy cannot be created or destroyed, only transformed from one form to another. This principle is known as the conservation of energy. Therefore, option 1 is incorrect.

Option 2 states that energy can be created but not destroyed. This statement is also incorrect. As mentioned earlier, energy cannot be created or destroyed. It can only be converted from one form to another. Therefore, option 2 is incorrect as well.

Option 3 states that energy neither can be created nor destroyed. This statement is the correct answer. According to the law of conservation of energy, the total amount of energy in an isolated system remains constant over time. Energy may change from one form to another, such as potential energy to kinetic energy, but the total amount of energy remains constant.

Option 4 states that energy cannot be created but can be destroyed. This statement is incorrect, as energy cannot be destroyed. It can only be transformed into a different form of energy. Therefore, option 4 is incorrect.

In conclusion, the correct statement about energy is that energy neither can be created nor destroyed.