Explain in terms of types of matter why methane can be broken down by chemical means but argon cannot?

Argon is a pure element which means that it cannot be broken down further than it already is. Methane, however, is a hydrocarbon, which means it is made out of both hydrogen and carbon and thus can be broken down to separate those elements.

No because it not possibly

While unproven, it uses facts to support part of a conclusion. it is still factual and has predictive power, however.