# My 100 followers problem!

Algebra Level 3

If $a+b+c=1$ and $\dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}=3$, where $a$, $b$ and $c$ are non-zero reals, then find $(a+b)ab+(b+c)bc+(c+a)ca$.

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