Primes lurking nearby

Number Theory Level 3

xy+x+y=96 \large \color{#302B94}x \color{#20A900}y+\color{#302B94}x+\color{#20A900} y=\color{#3D99F6}{96}

How many solutions are there such that both xx and yy are positive integers satisfying the equation above?

Eamon Gupta by Eamon Gupta
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