Mathematics, 08.09.2020 21:01 charlesgtro7066

Let a and b be two integers such that a^3 + ab^2 + b^3 = 0. (a) Prove algebraically that if a is even, b must also be even.
(b) Prove algebraically by contradiction that a cannot be odd

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Let a and b be two integers such that a^3 + ab^2 + b^3 = 0. (a) Prove algebraically that if a is ev...

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Let a and b be two integers such that a^3 + ab^2 + b^3 = 0. (a) Prove algebraically that if a is even, b must also be even. (b) Prove algebraically by contradiction that a cannot be odd

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Let a and b be two integers such that a^3 + ab^2 + b^3 = 0. (a) Prove algebraically that if a is even, b must also be even.
(b) Prove algebraically by contradiction that a cannot be odd