Prove prove-(a+b)=(-a)+(-b)

Publish date: 2024-06-18
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Prove the following

prove-(a+b)=(-a)+(-b)

Using the axiom of real numbers

-(A + B) = (-1)(A + B)

Using the Distributive Property, we have:

(-1)(A + B) = (-A) + (-B)

Final Answer

(-1)(A + B) = (-A) + (-B)

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axiomA statement accepted as true without proof. an unprovable rule or first principle accepted as true because it is self-evident or particularly usefucorollaryA proposition formed from a proven propositionpostulateA statement accepted as true without proofproofan inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusiontheoremA statement provable using logic

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