Inequal or Equal?

Algebra Level 2

Let a\color{#D61F06}{a} and b\color{#3D99F6}{b} be real numbers such that a>b>0\color{#D61F06}{a}>\color{#3D99F6}{b}>0. Determine the least possible value of

a+1b(ab).\large \color{#D61F06}{a} + \dfrac{1} {\color{#3D99F6}{b}(\color{#D61F06}{a}-\color{#3D99F6}{b})}.

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