If four positive integers a , b, c and d have a product of 8! and satisfy ab + a + b = 524 bc + b + c = 146 cd + c + d = 104 then the value of a - d is

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a^{2} + b^{2} = c^{2} + d^{2}

a^{2} + d^{2} - a d = b^{2} + c^{2} + b c

\frac{a b + c d}{a d + b c}

a + b + c + d = 63,

a, b, c, d \in I^{+},

a b + b c + c d

∣ ∣ ∣ ∣ ∣ \begin{matrix} 2 & a + b + c + d & a b + c d a + b + c + d & 2 (a + b) (c + d) & a b (c + d) + c d (a + b) a b + c d & a b (c + d) + c d (a + b) & 2 a b c d \end{matrix} ∣ ∣ ∣ ∣ ∣

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