## If $$x, y,$$ and $$z$$ are positive integers such that $$x^4y^3=z^2,$$ is $$x^9-y^6$$ odd?

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### If $$x, y,$$ and $$z$$ are positive integers such that $$x^4y^3=z^2,$$ is $$x^9-y^6$$ odd?

by VJesus12 » Sat Oct 16, 2021 4:14 am

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A

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E

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If $$x, y,$$ and $$z$$ are positive integers such that $$x^4y^3=z^2,$$ is $$x^9-y^6$$ odd?

(1) $$\dfrac{x^4y^3}{x^2+y^2}$$ can be written in the form $$4k+3,$$ where $$k$$ is a positive integer.

(2) $$z=x+y$$