Inequal or Equal?

Algebra Level 2

Let a\color{red}{a} and b\color{blue}{b} be real numbers such that a>b>0\color{red}{a}>\color{blue}{b}>0. Determine the least possible value of

a+1b(ab).\large \color{red}{a} + \dfrac{1} {\color{blue}{b}(\color{red}{a}-\color{blue}{b})}.

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