Find the value of \(\frac{(973+786)^2-(973-786)^2}{973*786}\).

Here are some formulas for number systems:
(a + b)(a – b) = (a² – b²)
(a + b)² = (a² + b² + 2ab)
(a – b)² = (a² + b² – 2ab)
(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
(a³ + b³) = (a + b)(a² – ab + b²)
(a³ – b³) = (a – b)(a² + ab + b²)
1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2
(12 + 22 + 32 + ..... + n2) = n ( n + 1 ) (2n + 1) / 6
(13+23+33+...+n3) = (1/4)n2(n+1)