# An algebra problem by Dev Sharma

Algebra Level 4

\large \begin{cases}\begin{align} a^2 + b^2 + ab &= 9\\ b^2 + c^2 + bc &= 16\\ c^2 + a^2 + ac &= 25 \end{align}\end{cases}

If $$a,b,c$$ satisfy the system above, find $$|ab + bc + ca|$$.

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