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- #1

\[

\frac{a^4+b^4}{a^2+b^2}

\]

with nothing higher than a power of two.

I know \(a^2+b^2 = (a + ib)(a - ib)\) and \(a^4 + b^4 = (a^2 + ib^2)(a^2 - ib^2)\), but I am to take the numerator down in farther in hopes of some cancelling in the denominator.