Using "Proof by Contraposition",sho that: if n is any odd integer and m is any even integer, then, 3m^3+2m^2 is odd.

djeljenike 2021-02-05 Answered
Using "Proof by Contraposition",sho that: if n is any odd integer and m is any even integer, then, 3m3+2m2 is odd.
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Nicole Conner
Answered 2021-02-06 Author has 97 answers
Let n be odd integer and m be even integer claim: 3m3+2m2 is odd.
We will prove this by contradiction.
On contrary suppose 3m3=2m2 is not odd.
i.e. 3m3=2m2 is even
3m3 is even
m3 is even
m is even
which is contradiction
our supposition is wrong
3n3+2m2 is odd.
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