If $A+A'=\dfrac{7}{r^2}$, where $A$ and $A'$ are functions of $r$, then is it necessary that $A$ and $A'$ must also be inverse square of $r$? If yes, please tell the reason.
2026-04-13 14:11:31.1776089491
addition of polynomials
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No. Try $A=r+7/r^2$ and $A'=-r$.