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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Free Proofs Calculator - Various Proofs in Algebra
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Build a bridge using corollaries, axioms, and theorems to get to the declarative statement.
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Build a bridge using corollaries, axioms, and theorems to get to the declarative statement.
For more math formulas, check out our Formula Dossier
What 5 concepts are covered in the Proofs Calculator?
- axiom
- A statement accepted as true without proof. an unprovable rule or first principle accepted as true because it is self-evident or particularly usefu
- corollary
- A proposition formed from a proven proposition
- postulate
- A statement accepted as true without proof
- proof
- an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion
- theorem
- A statement provable using logic
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