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Is {(a, b, c, d)∈Q4:a^5=b^5} a subspace of Q4? If so, prove it; if not, show...

Is {(a, b, c, d)∈Q4:a^5=b^5} a subspace of Q4? If so, prove it; if not, show why not.

Q is the set of all rational numbers

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