# Thread: Problem Of The Week #300 Feb 6th, 2018

1. Here is this week's POTW:

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Let $a$ and $b$ be non-zero real numbers such that $a^3+3a^2b^2+b^3=a^3b^3$.

Find all the possible values of $\dfrac{1}{a}+\dfrac{1}{b}$.

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Remember to read the to find out how to !

2.

3. Hello, MHB Community!

anemone has asked me to fill in for her while she is away on holiday.

Congratulations to to following users for their correct submissions:

Honorable mention goes to lfdahl for a partially correct solution.

castor28's solution follows: